What is the Least Common Multiple of 89112 and 89117?

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 89112 and 89117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89112 and 89117, than apply into the LCM equation.

GCF(89112,89117) = 1
LCM(89112,89117) = ( 89112 × 89117) / 1
LCM(89112,89117) = 7941394104 / 1
LCM(89112,89117) = 7941394104

Least Common Multiple (LCM) of 89112 and 89117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89112 and 89117. First we will calculate the prime factors of 89112 and 89117.

Prime Factorization of 89112

Prime Factorization of 89117

Now multiplying the highest exponent prime factors to calculate the LCM of 89112 and 89117.

LCM(89112,89117) = 2³ × 3¹ × 47¹ × 79¹ × 7¹ × 29¹ × 439¹
LCM(89112,89117) = 7941394104