What is the Least Common Multiple of 88152 and 88172?

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 88172 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 88172, than apply into the LCM equation.

GCF(88152,88172) = 4
LCM(88152,88172) = ( 88152 × 88172) / 4
LCM(88152,88172) = 7772538144 / 4
LCM(88152,88172) = 1943134536

Least Common Multiple (LCM) of 88152 and 88172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88152 and 88172. First we will calculate the prime factors of 88152 and 88172.

Prime Factorization of 88152

Prime Factorization of 88172

Now multiplying the highest exponent prime factors to calculate the LCM of 88152 and 88172.

LCM(88152,88172) = 2³ × 3¹ × 3673¹ × 7¹ × 47¹ × 67¹
LCM(88152,88172) = 1943134536