What is the Least Common Multiple of 99630 and 99650?

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 99650 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 99650, than apply into the LCM equation.

GCF(99630,99650) = 10
LCM(99630,99650) = ( 99630 × 99650) / 10
LCM(99630,99650) = 9928129500 / 10
LCM(99630,99650) = 992812950

Least Common Multiple (LCM) of 99630 and 99650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99630 and 99650. First we will calculate the prime factors of 99630 and 99650.

Prime Factorization of 99630

Prime Factorization of 99650

Now multiplying the highest exponent prime factors to calculate the LCM of 99630 and 99650.

LCM(99630,99650) = 2¹ × 3⁵ × 5² × 41¹ × 1993¹
LCM(99630,99650) = 992812950