What is the Least Common Multiple of 99675 and 99680?

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 99675 and 99680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99675 and 99680, than apply into the LCM equation.

GCF(99675,99680) = 5
LCM(99675,99680) = ( 99675 × 99680) / 5
LCM(99675,99680) = 9935604000 / 5
LCM(99675,99680) = 1987120800

Least Common Multiple (LCM) of 99675 and 99680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99675 and 99680. First we will calculate the prime factors of 99675 and 99680.

Prime Factorization of 99675

Prime Factorization of 99680

Now multiplying the highest exponent prime factors to calculate the LCM of 99675 and 99680.

LCM(99675,99680) = 3² × 5² × 443¹ × 2⁵ × 7¹ × 89¹
LCM(99675,99680) = 1987120800