What is the Least Common Multiple of 88125 and 88140?

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 88125 and 88140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88125 and 88140, than apply into the LCM equation.

GCF(88125,88140) = 15
LCM(88125,88140) = ( 88125 × 88140) / 15
LCM(88125,88140) = 7767337500 / 15
LCM(88125,88140) = 517822500

Least Common Multiple (LCM) of 88125 and 88140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88125 and 88140. First we will calculate the prime factors of 88125 and 88140.

Prime Factorization of 88125

Prime Factorization of 88140

Now multiplying the highest exponent prime factors to calculate the LCM of 88125 and 88140.

LCM(88125,88140) = 3¹ × 5⁴ × 47¹ × 2² × 13¹ × 113¹
LCM(88125,88140) = 517822500