What is the Least Common Multiple of 88672 and 88686?

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 88672 and 88686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88672 and 88686, than apply into the LCM equation.

GCF(88672,88686) = 2
LCM(88672,88686) = ( 88672 × 88686) / 2
LCM(88672,88686) = 7863964992 / 2
LCM(88672,88686) = 3931982496

Least Common Multiple (LCM) of 88672 and 88686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88672 and 88686. First we will calculate the prime factors of 88672 and 88686.

Prime Factorization of 88672

Prime Factorization of 88686

Now multiplying the highest exponent prime factors to calculate the LCM of 88672 and 88686.

LCM(88672,88686) = 2⁵ × 17¹ × 163¹ × 3² × 13¹ × 379¹
LCM(88672,88686) = 3931982496