What is the Least Common Multiple of 6821 and 6828?
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 6821 and 6828 is 46573788.
LCM(6821,6828) = 46573788
Least Common Multiple of 6821 and 6828 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6821 and 6828, than apply into the LCM equation.
GCF(6821,6828) = 1
LCM(6821,6828) = ( 6821 × 6828) / 1
LCM(6821,6828) = 46573788 / 1
LCM(6821,6828) = 46573788
Least Common Multiple (LCM) of 6821 and 6828 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6821 and 6828. First we will calculate the prime factors of 6821 and 6828.
Prime Factorization of 6821
Prime factors of 6821 are 19, 359. Prime factorization of 6821 in exponential form is:
6821 = 191 × 3591
Prime Factorization of 6828
Prime factors of 6828 are 2, 3, 569. Prime factorization of 6828 in exponential form is:
6828 = 22 × 31 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 6821 and 6828.
LCM(6821,6828) = 191 × 3591 × 22 × 31 × 5691
LCM(6821,6828) = 46573788
Related Least Common Multiples of 6821
- LCM of 6821 and 6825
- LCM of 6821 and 6826
- LCM of 6821 and 6827
- LCM of 6821 and 6828
- LCM of 6821 and 6829
- LCM of 6821 and 6830
- LCM of 6821 and 6831
- LCM of 6821 and 6832
- LCM of 6821 and 6833
- LCM of 6821 and 6834
- LCM of 6821 and 6835
- LCM of 6821 and 6836
- LCM of 6821 and 6837
- LCM of 6821 and 6838
- LCM of 6821 and 6839
- LCM of 6821 and 6840
- LCM of 6821 and 6841
Related Least Common Multiples of 6828
- LCM of 6828 and 6832
- LCM of 6828 and 6833
- LCM of 6828 and 6834
- LCM of 6828 and 6835
- LCM of 6828 and 6836
- LCM of 6828 and 6837
- LCM of 6828 and 6838
- LCM of 6828 and 6839
- LCM of 6828 and 6840
- LCM of 6828 and 6841
- LCM of 6828 and 6842
- LCM of 6828 and 6843
- LCM of 6828 and 6844
- LCM of 6828 and 6845
- LCM of 6828 and 6846
- LCM of 6828 and 6847
- LCM of 6828 and 6848