What is the Least Common Multiple of 88152 and 88160?

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 88152 and 88160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88152 and 88160, than apply into the LCM equation.

GCF(88152,88160) = 8
LCM(88152,88160) = ( 88152 × 88160) / 8
LCM(88152,88160) = 7771480320 / 8
LCM(88152,88160) = 971435040

Least Common Multiple (LCM) of 88152 and 88160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88152 and 88160. First we will calculate the prime factors of 88152 and 88160.

Prime Factorization of 88152

Prime Factorization of 88160

Now multiplying the highest exponent prime factors to calculate the LCM of 88152 and 88160.

LCM(88152,88160) = 2⁵ × 3¹ × 3673¹ × 5¹ × 19¹ × 29¹
LCM(88152,88160) = 971435040