What is the Least Common Multiple of 32940 and 32944?

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 32940 and 32944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32940 and 32944, than apply into the LCM equation.

GCF(32940,32944) = 4
LCM(32940,32944) = ( 32940 × 32944) / 4
LCM(32940,32944) = 1085175360 / 4
LCM(32940,32944) = 271293840

Least Common Multiple (LCM) of 32940 and 32944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32940 and 32944. First we will calculate the prime factors of 32940 and 32944.

Prime Factorization of 32940

Prime Factorization of 32944

Now multiplying the highest exponent prime factors to calculate the LCM of 32940 and 32944.

LCM(32940,32944) = 2⁴ × 3³ × 5¹ × 61¹ × 29¹ × 71¹
LCM(32940,32944) = 271293840