What is the Least Common Multiple of 88092 and 88107?

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 88092 and 88107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88092 and 88107, than apply into the LCM equation.

GCF(88092,88107) = 3
LCM(88092,88107) = ( 88092 × 88107) / 3
LCM(88092,88107) = 7761521844 / 3
LCM(88092,88107) = 2587173948

Least Common Multiple (LCM) of 88092 and 88107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88092 and 88107. First we will calculate the prime factors of 88092 and 88107.

Prime Factorization of 88092

Prime Factorization of 88107

Now multiplying the highest exponent prime factors to calculate the LCM of 88092 and 88107.

LCM(88092,88107) = 2² × 3² × 2447¹ × 43¹ × 683¹
LCM(88092,88107) = 2587173948