What is the Least Common Multiple of 99630 and 99645?

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 99630 and 99645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99630 and 99645, than apply into the LCM equation.

GCF(99630,99645) = 15
LCM(99630,99645) = ( 99630 × 99645) / 15
LCM(99630,99645) = 9927631350 / 15
LCM(99630,99645) = 661842090

Least Common Multiple (LCM) of 99630 and 99645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99630 and 99645. First we will calculate the prime factors of 99630 and 99645.

Prime Factorization of 99630

Prime Factorization of 99645

Now multiplying the highest exponent prime factors to calculate the LCM of 99630 and 99645.

LCM(99630,99645) = 2¹ × 3⁵ × 5¹ × 41¹ × 7¹ × 13¹ × 73¹
LCM(99630,99645) = 661842090