What is the Least Common Multiple of 37898 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 of 37898 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 37898 and 37907, than apply into the LCM equation.

GCF(37898,37907) = 1
LCM(37898,37907) = ( 37898 × 37907) / 1
LCM(37898,37907) = 1436599486 / 1
LCM(37898,37907) = 1436599486

Least Common Multiple (LCM) of 37898 and 37907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37898 and 37907. First we will calculate the prime factors of 37898 and 37907.

Prime Factorization of 37898

Prime Factorization of 37907

Now multiplying the highest exponent prime factors to calculate the LCM of 37898 and 37907.

LCM(37898,37907) = 2¹ × 7¹ × 2707¹ × 37907¹
LCM(37898,37907) = 1436599486