What is the Least Common Multiple of 94696 and 94715?

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 94696 and 94715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94696 and 94715, than apply into the LCM equation.

GCF(94696,94715) = 19
LCM(94696,94715) = ( 94696 × 94715) / 19
LCM(94696,94715) = 8969131640 / 19
LCM(94696,94715) = 472059560

Least Common Multiple (LCM) of 94696 and 94715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94696 and 94715. First we will calculate the prime factors of 94696 and 94715.

Prime Factorization of 94696

Prime Factorization of 94715

Now multiplying the highest exponent prime factors to calculate the LCM of 94696 and 94715.

LCM(94696,94715) = 2³ × 7¹ × 19¹ × 89¹ × 5¹ × 997¹
LCM(94696,94715) = 472059560