What is the Least Common Multiple of 56936 and 56944?

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 56936 and 56944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56936 and 56944, than apply into the LCM equation.

GCF(56936,56944) = 8
LCM(56936,56944) = ( 56936 × 56944) / 8
LCM(56936,56944) = 3242163584 / 8
LCM(56936,56944) = 405270448

Least Common Multiple (LCM) of 56936 and 56944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56936 and 56944. First we will calculate the prime factors of 56936 and 56944.

Prime Factorization of 56936

Prime Factorization of 56944

Now multiplying the highest exponent prime factors to calculate the LCM of 56936 and 56944.

LCM(56936,56944) = 2⁴ × 11¹ × 647¹ × 3559¹
LCM(56936,56944) = 405270448