What is the Least Common Multiple of 10912 and 10932?

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 10912 and 10932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10912 and 10932, than apply into the LCM equation.

GCF(10912,10932) = 4
LCM(10912,10932) = ( 10912 × 10932) / 4
LCM(10912,10932) = 119289984 / 4
LCM(10912,10932) = 29822496

Least Common Multiple (LCM) of 10912 and 10932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10912 and 10932. First we will calculate the prime factors of 10912 and 10932.

Prime Factorization of 10912

Prime Factorization of 10932

Now multiplying the highest exponent prime factors to calculate the LCM of 10912 and 10932.

LCM(10912,10932) = 2⁵ × 11¹ × 31¹ × 3¹ × 911¹
LCM(10912,10932) = 29822496