What is the Least Common Multiple of 88704 and 88712?

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 88704 and 88712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88704 and 88712, than apply into the LCM equation.

GCF(88704,88712) = 8
LCM(88704,88712) = ( 88704 × 88712) / 8
LCM(88704,88712) = 7869109248 / 8
LCM(88704,88712) = 983638656

Least Common Multiple (LCM) of 88704 and 88712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88704 and 88712. First we will calculate the prime factors of 88704 and 88712.

Prime Factorization of 88704

Prime Factorization of 88712

Now multiplying the highest exponent prime factors to calculate the LCM of 88704 and 88712.

LCM(88704,88712) = 2⁷ × 3² × 7¹ × 11¹ × 13¹ × 853¹
LCM(88704,88712) = 983638656