What is the Least Common Multiple of 56609 and 56617?

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 56609 and 56617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56609 and 56617, than apply into the LCM equation.

GCF(56609,56617) = 1
LCM(56609,56617) = ( 56609 × 56617) / 1
LCM(56609,56617) = 3205031753 / 1
LCM(56609,56617) = 3205031753

Least Common Multiple (LCM) of 56609 and 56617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56609 and 56617. First we will calculate the prime factors of 56609 and 56617.

Prime Factorization of 56609

Prime Factorization of 56617

Now multiplying the highest exponent prime factors to calculate the LCM of 56609 and 56617.

LCM(56609,56617) = 7¹ × 8087¹ × 11¹ × 5147¹
LCM(56609,56617) = 3205031753