What is the Least Common Multiple of 86688 and 86706?

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 86688 and 86706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86688 and 86706, than apply into the LCM equation.

GCF(86688,86706) = 18
LCM(86688,86706) = ( 86688 × 86706) / 18
LCM(86688,86706) = 7516369728 / 18
LCM(86688,86706) = 417576096

Least Common Multiple (LCM) of 86688 and 86706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86688 and 86706. First we will calculate the prime factors of 86688 and 86706.

Prime Factorization of 86688

Prime Factorization of 86706

Now multiplying the highest exponent prime factors to calculate the LCM of 86688 and 86706.

LCM(86688,86706) = 2⁵ × 3² × 7¹ × 43¹ × 4817¹
LCM(86688,86706) = 417576096