What is the Least Common Multiple of 56517 and 56531?

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 56517 and 56531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56517 and 56531, than apply into the LCM equation.

GCF(56517,56531) = 1
LCM(56517,56531) = ( 56517 × 56531) / 1
LCM(56517,56531) = 3194962527 / 1
LCM(56517,56531) = 3194962527

Least Common Multiple (LCM) of 56517 and 56531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56517 and 56531. First we will calculate the prime factors of 56517 and 56531.

Prime Factorization of 56517

Prime Factorization of 56531

Now multiplying the highest exponent prime factors to calculate the LCM of 56517 and 56531.

LCM(56517,56531) = 3¹ × 18839¹ × 56531¹
LCM(56517,56531) = 3194962527