What is the Least Common Multiple of 88116 and 88125?

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 88116 and 88125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88116 and 88125, than apply into the LCM equation.

GCF(88116,88125) = 3
LCM(88116,88125) = ( 88116 × 88125) / 3
LCM(88116,88125) = 7765222500 / 3
LCM(88116,88125) = 2588407500

Least Common Multiple (LCM) of 88116 and 88125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88116 and 88125. First we will calculate the prime factors of 88116 and 88125.

Prime Factorization of 88116

Prime Factorization of 88125

Now multiplying the highest exponent prime factors to calculate the LCM of 88116 and 88125.

LCM(88116,88125) = 2² × 3¹ × 7¹ × 1049¹ × 5⁴ × 47¹
LCM(88116,88125) = 2588407500