What is the Least Common Multiple of 99960 and 99965?

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 99960 and 99965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99960 and 99965, than apply into the LCM equation.

GCF(99960,99965) = 5
LCM(99960,99965) = ( 99960 × 99965) / 5
LCM(99960,99965) = 9992501400 / 5
LCM(99960,99965) = 1998500280

Least Common Multiple (LCM) of 99960 and 99965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99960 and 99965. First we will calculate the prime factors of 99960 and 99965.

Prime Factorization of 99960

Prime Factorization of 99965

Now multiplying the highest exponent prime factors to calculate the LCM of 99960 and 99965.

LCM(99960,99965) = 2³ × 3¹ × 5¹ × 7² × 17¹ × 19993¹
LCM(99960,99965) = 1998500280