What is the Least Common Multiple of 10656 and 10672?

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 10656 and 10672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10656 and 10672, than apply into the LCM equation.

GCF(10656,10672) = 16
LCM(10656,10672) = ( 10656 × 10672) / 16
LCM(10656,10672) = 113720832 / 16
LCM(10656,10672) = 7107552

Least Common Multiple (LCM) of 10656 and 10672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10656 and 10672. First we will calculate the prime factors of 10656 and 10672.

Prime Factorization of 10656

Prime Factorization of 10672

Now multiplying the highest exponent prime factors to calculate the LCM of 10656 and 10672.

LCM(10656,10672) = 2⁵ × 3² × 37¹ × 23¹ × 29¹
LCM(10656,10672) = 7107552