What is the Least Common Multiple of 32944 and 32956?

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 32944 and 32956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32944 and 32956, than apply into the LCM equation.

GCF(32944,32956) = 4
LCM(32944,32956) = ( 32944 × 32956) / 4
LCM(32944,32956) = 1085702464 / 4
LCM(32944,32956) = 271425616

Least Common Multiple (LCM) of 32944 and 32956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32944 and 32956. First we will calculate the prime factors of 32944 and 32956.

Prime Factorization of 32944

Prime Factorization of 32956

Now multiplying the highest exponent prime factors to calculate the LCM of 32944 and 32956.

LCM(32944,32956) = 2⁴ × 29¹ × 71¹ × 7¹ × 11¹ × 107¹
LCM(32944,32956) = 271425616