What is the Least Common Multiple of 37686 and 37698?

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 37686 and 37698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37686 and 37698, than apply into the LCM equation.

GCF(37686,37698) = 6
LCM(37686,37698) = ( 37686 × 37698) / 6
LCM(37686,37698) = 1420686828 / 6
LCM(37686,37698) = 236781138

Least Common Multiple (LCM) of 37686 and 37698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37686 and 37698. First we will calculate the prime factors of 37686 and 37698.

Prime Factorization of 37686

Prime Factorization of 37698

Now multiplying the highest exponent prime factors to calculate the LCM of 37686 and 37698.

LCM(37686,37698) = 2¹ × 3¹ × 11¹ × 571¹ × 61¹ × 103¹
LCM(37686,37698) = 236781138