What is the Least Common Multiple of 88710 and 88728?

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 88710 and 88728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88710 and 88728, than apply into the LCM equation.

GCF(88710,88728) = 6
LCM(88710,88728) = ( 88710 × 88728) / 6
LCM(88710,88728) = 7871060880 / 6
LCM(88710,88728) = 1311843480

Least Common Multiple (LCM) of 88710 and 88728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88710 and 88728. First we will calculate the prime factors of 88710 and 88728.

Prime Factorization of 88710

Prime Factorization of 88728

Now multiplying the highest exponent prime factors to calculate the LCM of 88710 and 88728.

LCM(88710,88728) = 2³ × 3¹ × 5¹ × 2957¹ × 3697¹
LCM(88710,88728) = 1311843480