What is the Least Common Multiple of 56643 and 56657?

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 56643 and 56657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56643 and 56657, than apply into the LCM equation.

GCF(56643,56657) = 1
LCM(56643,56657) = ( 56643 × 56657) / 1
LCM(56643,56657) = 3209222451 / 1
LCM(56643,56657) = 3209222451

Least Common Multiple (LCM) of 56643 and 56657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56643 and 56657. First we will calculate the prime factors of 56643 and 56657.

Prime Factorization of 56643

Prime Factorization of 56657

Now multiplying the highest exponent prime factors to calculate the LCM of 56643 and 56657.

LCM(56643,56657) = 3¹ × 79¹ × 239¹ × 53¹ × 1069¹
LCM(56643,56657) = 3209222451