What is the Least Common Multiple of 37268 and 37272?

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 37268 and 37272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37268 and 37272, than apply into the LCM equation.

GCF(37268,37272) = 4
LCM(37268,37272) = ( 37268 × 37272) / 4
LCM(37268,37272) = 1389052896 / 4
LCM(37268,37272) = 347263224

Least Common Multiple (LCM) of 37268 and 37272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37268 and 37272. First we will calculate the prime factors of 37268 and 37272.

Prime Factorization of 37268

Prime Factorization of 37272

Now multiplying the highest exponent prime factors to calculate the LCM of 37268 and 37272.

LCM(37268,37272) = 2³ × 7¹ × 11³ × 3¹ × 1553¹
LCM(37268,37272) = 347263224