What is the Least Common Multiple of 32934 and 32953?

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 32934 and 32953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32934 and 32953, than apply into the LCM equation.

GCF(32934,32953) = 1
LCM(32934,32953) = ( 32934 × 32953) / 1
LCM(32934,32953) = 1085274102 / 1
LCM(32934,32953) = 1085274102

Least Common Multiple (LCM) of 32934 and 32953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32934 and 32953. First we will calculate the prime factors of 32934 and 32953.

Prime Factorization of 32934

Prime Factorization of 32953

Now multiplying the highest exponent prime factors to calculate the LCM of 32934 and 32953.

LCM(32934,32953) = 2¹ × 3¹ × 11¹ × 499¹ × 31¹ × 1063¹
LCM(32934,32953) = 1085274102