What is the Least Common Multiple of 55646 and 55657?

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 55646 and 55657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55646 and 55657, than apply into the LCM equation.

GCF(55646,55657) = 1
LCM(55646,55657) = ( 55646 × 55657) / 1
LCM(55646,55657) = 3097089422 / 1
LCM(55646,55657) = 3097089422

Least Common Multiple (LCM) of 55646 and 55657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55646 and 55657. First we will calculate the prime factors of 55646 and 55657.

Prime Factorization of 55646

Prime Factorization of 55657

Now multiplying the highest exponent prime factors to calculate the LCM of 55646 and 55657.

LCM(55646,55657) = 2¹ × 27823¹ × 7¹ × 7951¹
LCM(55646,55657) = 3097089422