What is the Least Common Multiple of 9826 and 9842?
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 9826 and 9842 is 48353746.
LCM(9826,9842) = 48353746
Least Common Multiple of 9826 and 9842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9826 and 9842, than apply into the LCM equation.
GCF(9826,9842) = 2
LCM(9826,9842) = ( 9826 × 9842) / 2
LCM(9826,9842) = 96707492 / 2
LCM(9826,9842) = 48353746
Least Common Multiple (LCM) of 9826 and 9842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9826 and 9842. First we will calculate the prime factors of 9826 and 9842.
Prime Factorization of 9826
Prime factors of 9826 are 2, 17. Prime factorization of 9826 in exponential form is:
9826 = 21 × 173
Prime Factorization of 9842
Prime factors of 9842 are 2, 7, 19, 37. Prime factorization of 9842 in exponential form is:
9842 = 21 × 71 × 191 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 9826 and 9842.
LCM(9826,9842) = 21 × 173 × 71 × 191 × 371
LCM(9826,9842) = 48353746
Related Least Common Multiples of 9826
- LCM of 9826 and 9830
- LCM of 9826 and 9831
- LCM of 9826 and 9832
- LCM of 9826 and 9833
- LCM of 9826 and 9834
- LCM of 9826 and 9835
- LCM of 9826 and 9836
- LCM of 9826 and 9837
- LCM of 9826 and 9838
- LCM of 9826 and 9839
- LCM of 9826 and 9840
- LCM of 9826 and 9841
- LCM of 9826 and 9842
- LCM of 9826 and 9843
- LCM of 9826 and 9844
- LCM of 9826 and 9845
- LCM of 9826 and 9846
Related Least Common Multiples of 9842
- LCM of 9842 and 9846
- LCM of 9842 and 9847
- LCM of 9842 and 9848
- LCM of 9842 and 9849
- LCM of 9842 and 9850
- LCM of 9842 and 9851
- LCM of 9842 and 9852
- LCM of 9842 and 9853
- LCM of 9842 and 9854
- LCM of 9842 and 9855
- LCM of 9842 and 9856
- LCM of 9842 and 9857
- LCM of 9842 and 9858
- LCM of 9842 and 9859
- LCM of 9842 and 9860
- LCM of 9842 and 9861
- LCM of 9842 and 9862