GCF and LCM Calculator Logo

What is the Least Common Multiple of 37902 and 37907?

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 37902 and 37907 is 1436751114.

LCM(37902,37907) = 1436751114

LCM Calculator and
and

Least Common Multiple of 37902 and 37907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37902 and 37907, than apply into the LCM equation.

GCF(37902,37907) = 1
LCM(37902,37907) = ( 37902 × 37907) / 1
LCM(37902,37907) = 1436751114 / 1
LCM(37902,37907) = 1436751114

Least Common Multiple (LCM) of 37902 and 37907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37902 and 37907. First we will calculate the prime factors of 37902 and 37907.

Prime Factorization of 37902

Prime factors of 37902 are 2, 3, 6317. Prime factorization of 37902 in exponential form is:

37902 = 21 × 31 × 63171

Prime Factorization of 37907

Prime factors of 37907 are 37907. Prime factorization of 37907 in exponential form is:

37907 = 379071

Now multiplying the highest exponent prime factors to calculate the LCM of 37902 and 37907.

LCM(37902,37907) = 21 × 31 × 63171 × 379071
LCM(37902,37907) = 1436751114