What is the Least Common Multiple of 99015 and 99030?

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 99015 and 99030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99015 and 99030, than apply into the LCM equation.

GCF(99015,99030) = 15
LCM(99015,99030) = ( 99015 × 99030) / 15
LCM(99015,99030) = 9805455450 / 15
LCM(99015,99030) = 653697030

Least Common Multiple (LCM) of 99015 and 99030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99015 and 99030. First we will calculate the prime factors of 99015 and 99030.

Prime Factorization of 99015

Prime Factorization of 99030

Now multiplying the highest exponent prime factors to calculate the LCM of 99015 and 99030.

LCM(99015,99030) = 3¹ × 5¹ × 7¹ × 23¹ × 41¹ × 2¹ × 3301¹
LCM(99015,99030) = 653697030