What is the Least Common Multiple of 91616 and 91631?

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 91616 and 91631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91616 and 91631, than apply into the LCM equation.

GCF(91616,91631) = 1
LCM(91616,91631) = ( 91616 × 91631) / 1
LCM(91616,91631) = 8394865696 / 1
LCM(91616,91631) = 8394865696

Least Common Multiple (LCM) of 91616 and 91631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91616 and 91631. First we will calculate the prime factors of 91616 and 91631.

Prime Factorization of 91616

Prime Factorization of 91631

Now multiplying the highest exponent prime factors to calculate the LCM of 91616 and 91631.

LCM(91616,91631) = 2⁵ × 7¹ × 409¹ × 91631¹
LCM(91616,91631) = 8394865696