What is the Least Common Multiple of 60099 and 60108?

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 60099 and 60108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60099 and 60108, than apply into the LCM equation.

GCF(60099,60108) = 3
LCM(60099,60108) = ( 60099 × 60108) / 3
LCM(60099,60108) = 3612430692 / 3
LCM(60099,60108) = 1204143564

Least Common Multiple (LCM) of 60099 and 60108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60099 and 60108. First we will calculate the prime factors of 60099 and 60108.

Prime Factorization of 60099

Prime Factorization of 60108

Now multiplying the highest exponent prime factors to calculate the LCM of 60099 and 60108.

LCM(60099,60108) = 3¹ × 13¹ × 23¹ × 67¹ × 2² × 5009¹
LCM(60099,60108) = 1204143564