What is the Least Common Multiple of 32960 and 32964?

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 32960 and 32964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32960 and 32964, than apply into the LCM equation.

GCF(32960,32964) = 4
LCM(32960,32964) = ( 32960 × 32964) / 4
LCM(32960,32964) = 1086493440 / 4
LCM(32960,32964) = 271623360

Least Common Multiple (LCM) of 32960 and 32964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32960 and 32964. First we will calculate the prime factors of 32960 and 32964.

Prime Factorization of 32960

Prime Factorization of 32964

Now multiplying the highest exponent prime factors to calculate the LCM of 32960 and 32964.

LCM(32960,32964) = 2⁶ × 5¹ × 103¹ × 3¹ × 41¹ × 67¹
LCM(32960,32964) = 271623360