What is the Least Common Multiple of 55717 and 55731?

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 55717 and 55731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55717 and 55731, than apply into the LCM equation.

GCF(55717,55731) = 1
LCM(55717,55731) = ( 55717 × 55731) / 1
LCM(55717,55731) = 3105164127 / 1
LCM(55717,55731) = 3105164127

Least Common Multiple (LCM) of 55717 and 55731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55717 and 55731. First we will calculate the prime factors of 55717 and 55731.

Prime Factorization of 55717

Prime Factorization of 55731

Now multiplying the highest exponent prime factors to calculate the LCM of 55717 and 55731.

LCM(55717,55731) = 55717¹ × 3¹ × 13¹ × 1429¹
LCM(55717,55731) = 3105164127