What is the Least Common Multiple of 91616 and 91636?

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 91636 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 91636, than apply into the LCM equation.

GCF(91616,91636) = 4
LCM(91616,91636) = ( 91616 × 91636) / 4
LCM(91616,91636) = 8395323776 / 4
LCM(91616,91636) = 2098830944

Least Common Multiple (LCM) of 91616 and 91636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91616 and 91636. First we will calculate the prime factors of 91616 and 91636.

Prime Factorization of 91616

Prime Factorization of 91636

Now multiplying the highest exponent prime factors to calculate the LCM of 91616 and 91636.

LCM(91616,91636) = 2⁵ × 7¹ × 409¹ × 31¹ × 739¹
LCM(91616,91636) = 2098830944