What is the Least Common Multiple of 67821 and 67826?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 67821 and 67826 is 4600027146.
LCM(67821,67826) = 4600027146
Least Common Multiple of 67821 and 67826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67821 and 67826, than apply into the LCM equation.
GCF(67821,67826) = 1
LCM(67821,67826) = ( 67821 × 67826) / 1
LCM(67821,67826) = 4600027146 / 1
LCM(67821,67826) = 4600027146
Least Common Multiple (LCM) of 67821 and 67826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67821 and 67826. First we will calculate the prime factors of 67821 and 67826.
Prime Factorization of 67821
Prime factors of 67821 are 3, 13, 37, 47. Prime factorization of 67821 in exponential form is:
67821 = 31 × 131 × 371 × 471
Prime Factorization of 67826
Prime factors of 67826 are 2, 11, 3083. Prime factorization of 67826 in exponential form is:
67826 = 21 × 111 × 30831
Now multiplying the highest exponent prime factors to calculate the LCM of 67821 and 67826.
LCM(67821,67826) = 31 × 131 × 371 × 471 × 21 × 111 × 30831
LCM(67821,67826) = 4600027146
Related Least Common Multiples of 67821
- LCM of 67821 and 67825
- LCM of 67821 and 67826
- LCM of 67821 and 67827
- LCM of 67821 and 67828
- LCM of 67821 and 67829
- LCM of 67821 and 67830
- LCM of 67821 and 67831
- LCM of 67821 and 67832
- LCM of 67821 and 67833
- LCM of 67821 and 67834
- LCM of 67821 and 67835
- LCM of 67821 and 67836
- LCM of 67821 and 67837
- LCM of 67821 and 67838
- LCM of 67821 and 67839
- LCM of 67821 and 67840
- LCM of 67821 and 67841
Related Least Common Multiples of 67826
- LCM of 67826 and 67830
- LCM of 67826 and 67831
- LCM of 67826 and 67832
- LCM of 67826 and 67833
- LCM of 67826 and 67834
- LCM of 67826 and 67835
- LCM of 67826 and 67836
- LCM of 67826 and 67837
- LCM of 67826 and 67838
- LCM of 67826 and 67839
- LCM of 67826 and 67840
- LCM of 67826 and 67841
- LCM of 67826 and 67842
- LCM of 67826 and 67843
- LCM of 67826 and 67844
- LCM of 67826 and 67845
- LCM of 67826 and 67846