What is the Least Common Multiple of 5643 and 5657?

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 5643 and 5657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5643 and 5657, than apply into the LCM equation.

GCF(5643,5657) = 1
LCM(5643,5657) = ( 5643 × 5657) / 1
LCM(5643,5657) = 31922451 / 1
LCM(5643,5657) = 31922451

Least Common Multiple (LCM) of 5643 and 5657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5643 and 5657. First we will calculate the prime factors of 5643 and 5657.

Prime Factorization of 5643

Prime Factorization of 5657

Now multiplying the highest exponent prime factors to calculate the LCM of 5643 and 5657.

LCM(5643,5657) = 3³ × 11¹ × 19¹ × 5657¹
LCM(5643,5657) = 31922451