What is the Least Common Multiple of 37796 and 37807?

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 37796 and 37807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37796 and 37807, than apply into the LCM equation.

GCF(37796,37807) = 11
LCM(37796,37807) = ( 37796 × 37807) / 11
LCM(37796,37807) = 1428953372 / 11
LCM(37796,37807) = 129904852

Least Common Multiple (LCM) of 37796 and 37807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37796 and 37807. First we will calculate the prime factors of 37796 and 37807.

Prime Factorization of 37796

Prime Factorization of 37807

Now multiplying the highest exponent prime factors to calculate the LCM of 37796 and 37807.

LCM(37796,37807) = 2² × 11¹ × 859¹ × 7¹ × 491¹
LCM(37796,37807) = 129904852