What is the Least Common Multiple of 37756 and 37764?

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 37756 and 37764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37756 and 37764, than apply into the LCM equation.

GCF(37756,37764) = 4
LCM(37756,37764) = ( 37756 × 37764) / 4
LCM(37756,37764) = 1425817584 / 4
LCM(37756,37764) = 356454396

Least Common Multiple (LCM) of 37756 and 37764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37756 and 37764. First we will calculate the prime factors of 37756 and 37764.

Prime Factorization of 37756

Prime Factorization of 37764

Now multiplying the highest exponent prime factors to calculate the LCM of 37756 and 37764.

LCM(37756,37764) = 2² × 9439¹ × 3² × 1049¹
LCM(37756,37764) = 356454396