What is the Least Common Multiple of 37698 and 37707?

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 37698 and 37707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37698 and 37707, than apply into the LCM equation.

GCF(37698,37707) = 3
LCM(37698,37707) = ( 37698 × 37707) / 3
LCM(37698,37707) = 1421478486 / 3
LCM(37698,37707) = 473826162

Least Common Multiple (LCM) of 37698 and 37707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37698 and 37707. First we will calculate the prime factors of 37698 and 37707.

Prime Factorization of 37698

Prime Factorization of 37707

Now multiplying the highest exponent prime factors to calculate the LCM of 37698 and 37707.

LCM(37698,37707) = 2¹ × 3¹ × 61¹ × 103¹ × 12569¹
LCM(37698,37707) = 473826162