What is the Least Common Multiple of 2912 and 2932?

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 2912 and 2932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2912 and 2932, than apply into the LCM equation.

GCF(2912,2932) = 4
LCM(2912,2932) = ( 2912 × 2932) / 4
LCM(2912,2932) = 8537984 / 4
LCM(2912,2932) = 2134496

Least Common Multiple (LCM) of 2912 and 2932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2912 and 2932. First we will calculate the prime factors of 2912 and 2932.

Prime Factorization of 2912

Prime Factorization of 2932

Now multiplying the highest exponent prime factors to calculate the LCM of 2912 and 2932.

LCM(2912,2932) = 2⁵ × 7¹ × 13¹ × 733¹
LCM(2912,2932) = 2134496