What is the Least Common Multiple of 86606 and 86624?

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 86606 and 86624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86606 and 86624, than apply into the LCM equation.

GCF(86606,86624) = 2
LCM(86606,86624) = ( 86606 × 86624) / 2
LCM(86606,86624) = 7502158144 / 2
LCM(86606,86624) = 3751079072

Least Common Multiple (LCM) of 86606 and 86624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86606 and 86624. First we will calculate the prime factors of 86606 and 86624.

Prime Factorization of 86606

Prime Factorization of 86624

Now multiplying the highest exponent prime factors to calculate the LCM of 86606 and 86624.

LCM(86606,86624) = 2⁵ × 13¹ × 3331¹ × 2707¹
LCM(86606,86624) = 3751079072