What is the Least Common Multiple of 33937 and 33957?

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 33937 and 33957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33937 and 33957, than apply into the LCM equation.

GCF(33937,33957) = 1
LCM(33937,33957) = ( 33937 × 33957) / 1
LCM(33937,33957) = 1152398709 / 1
LCM(33937,33957) = 1152398709

Least Common Multiple (LCM) of 33937 and 33957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33937 and 33957. First we will calculate the prime factors of 33937 and 33957.

Prime Factorization of 33937

Prime Factorization of 33957

Now multiplying the highest exponent prime factors to calculate the LCM of 33937 and 33957.

LCM(33937,33957) = 33937¹ × 3² × 7³ × 11¹
LCM(33937,33957) = 1152398709