What is the Least Common Multiple of 88115 and 88120?

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 88115 and 88120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88115 and 88120, than apply into the LCM equation.

GCF(88115,88120) = 5
LCM(88115,88120) = ( 88115 × 88120) / 5
LCM(88115,88120) = 7764693800 / 5
LCM(88115,88120) = 1552938760

Least Common Multiple (LCM) of 88115 and 88120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88115 and 88120. First we will calculate the prime factors of 88115 and 88120.

Prime Factorization of 88115

Prime Factorization of 88120

Now multiplying the highest exponent prime factors to calculate the LCM of 88115 and 88120.

LCM(88115,88120) = 5¹ × 17623¹ × 2³ × 2203¹
LCM(88115,88120) = 1552938760