What is the Least Common Multiple of 99540 and 99555?

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 99540 and 99555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99540 and 99555, than apply into the LCM equation.

GCF(99540,99555) = 15
LCM(99540,99555) = ( 99540 × 99555) / 15
LCM(99540,99555) = 9909704700 / 15
LCM(99540,99555) = 660646980

Least Common Multiple (LCM) of 99540 and 99555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99540 and 99555. First we will calculate the prime factors of 99540 and 99555.

Prime Factorization of 99540

Prime Factorization of 99555

Now multiplying the highest exponent prime factors to calculate the LCM of 99540 and 99555.

LCM(99540,99555) = 2² × 3² × 5¹ × 7¹ × 79¹ × 6637¹
LCM(99540,99555) = 660646980