What is the Least Common Multiple of 56911 and 56924?

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 56911 and 56924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56911 and 56924, than apply into the LCM equation.

GCF(56911,56924) = 1
LCM(56911,56924) = ( 56911 × 56924) / 1
LCM(56911,56924) = 3239601764 / 1
LCM(56911,56924) = 3239601764

Least Common Multiple (LCM) of 56911 and 56924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56911 and 56924. First we will calculate the prime factors of 56911 and 56924.

Prime Factorization of 56911

Prime Factorization of 56924

Now multiplying the highest exponent prime factors to calculate the LCM of 56911 and 56924.

LCM(56911,56924) = 56911¹ × 2² × 7¹ × 19¹ × 107¹
LCM(56911,56924) = 3239601764