What is the Least Common Multiple of 95654 and 95667?

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 95654 and 95667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95654 and 95667, than apply into the LCM equation.

GCF(95654,95667) = 13
LCM(95654,95667) = ( 95654 × 95667) / 13
LCM(95654,95667) = 9150931218 / 13
LCM(95654,95667) = 703917786

Least Common Multiple (LCM) of 95654 and 95667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95654 and 95667. First we will calculate the prime factors of 95654 and 95667.

Prime Factorization of 95654

Prime Factorization of 95667

Now multiplying the highest exponent prime factors to calculate the LCM of 95654 and 95667.

LCM(95654,95667) = 2¹ × 13² × 283¹ × 3¹ × 11¹ × 223¹
LCM(95654,95667) = 703917786