What is the Least Common Multiple of 55715 and 55721?

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 55715 and 55721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55715 and 55721, than apply into the LCM equation.

GCF(55715,55721) = 1
LCM(55715,55721) = ( 55715 × 55721) / 1
LCM(55715,55721) = 3104495515 / 1
LCM(55715,55721) = 3104495515

Least Common Multiple (LCM) of 55715 and 55721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55715 and 55721. First we will calculate the prime factors of 55715 and 55721.

Prime Factorization of 55715

Prime Factorization of 55721

Now multiplying the highest exponent prime factors to calculate the LCM of 55715 and 55721.

LCM(55715,55721) = 5¹ × 11¹ × 1013¹ × 55721¹
LCM(55715,55721) = 3104495515