What is the Least Common Multiple of 95715 and 95721?

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 95715 and 95721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95715 and 95721, than apply into the LCM equation.

GCF(95715,95721) = 3
LCM(95715,95721) = ( 95715 × 95721) / 3
LCM(95715,95721) = 9161935515 / 3
LCM(95715,95721) = 3053978505

Least Common Multiple (LCM) of 95715 and 95721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95715 and 95721. First we will calculate the prime factors of 95715 and 95721.

Prime Factorization of 95715

Prime Factorization of 95721

Now multiplying the highest exponent prime factors to calculate the LCM of 95715 and 95721.

LCM(95715,95721) = 3³ × 5¹ × 709¹ × 31907¹
LCM(95715,95721) = 3053978505