What is the Least Common Multiple of 56514 and 56532?

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 56514 and 56532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56514 and 56532, than apply into the LCM equation.

GCF(56514,56532) = 6
LCM(56514,56532) = ( 56514 × 56532) / 6
LCM(56514,56532) = 3194849448 / 6
LCM(56514,56532) = 532474908

Least Common Multiple (LCM) of 56514 and 56532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56514 and 56532. First we will calculate the prime factors of 56514 and 56532.

Prime Factorization of 56514

Prime Factorization of 56532

Now multiplying the highest exponent prime factors to calculate the LCM of 56514 and 56532.

LCM(56514,56532) = 2² × 3¹ × 9419¹ × 7¹ × 673¹
LCM(56514,56532) = 532474908