What is the Least Common Multiple of 88506 and 88512?

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 88506 and 88512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88506 and 88512, than apply into the LCM equation.

GCF(88506,88512) = 6
LCM(88506,88512) = ( 88506 × 88512) / 6
LCM(88506,88512) = 7833843072 / 6
LCM(88506,88512) = 1305640512

Least Common Multiple (LCM) of 88506 and 88512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88506 and 88512. First we will calculate the prime factors of 88506 and 88512.

Prime Factorization of 88506

Prime Factorization of 88512

Now multiplying the highest exponent prime factors to calculate the LCM of 88506 and 88512.

LCM(88506,88512) = 2⁶ × 3³ × 11¹ × 149¹ × 461¹
LCM(88506,88512) = 1305640512