What is the Least Common Multiple of 88113 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 88113 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 88113 and 88120, than apply into the LCM equation.

GCF(88113,88120) = 1
LCM(88113,88120) = ( 88113 × 88120) / 1
LCM(88113,88120) = 7764517560 / 1
LCM(88113,88120) = 7764517560

Least Common Multiple (LCM) of 88113 and 88120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88113 and 88120. First we will calculate the prime factors of 88113 and 88120.

Prime Factorization of 88113

Prime Factorization of 88120

Now multiplying the highest exponent prime factors to calculate the LCM of 88113 and 88120.

LCM(88113,88120) = 3¹ × 23¹ × 1277¹ × 2³ × 5¹ × 2203¹
LCM(88113,88120) = 7764517560