What is the Least Common Multiple of 56964 and 56973?

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 56964 and 56973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56964 and 56973, than apply into the LCM equation.

GCF(56964,56973) = 3
LCM(56964,56973) = ( 56964 × 56973) / 3
LCM(56964,56973) = 3245409972 / 3
LCM(56964,56973) = 1081803324

Least Common Multiple (LCM) of 56964 and 56973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56964 and 56973. First we will calculate the prime factors of 56964 and 56973.

Prime Factorization of 56964

Prime Factorization of 56973

Now multiplying the highest exponent prime factors to calculate the LCM of 56964 and 56973.

LCM(56964,56973) = 2² × 3¹ × 47¹ × 101¹ × 7¹ × 2713¹
LCM(56964,56973) = 1081803324