What is the Least Common Multiple of 99630 and 99636?

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 99636 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 99636, than apply into the LCM equation.

GCF(99630,99636) = 6
LCM(99630,99636) = ( 99630 × 99636) / 6
LCM(99630,99636) = 9926734680 / 6
LCM(99630,99636) = 1654455780

Least Common Multiple (LCM) of 99630 and 99636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99630 and 99636. First we will calculate the prime factors of 99630 and 99636.

Prime Factorization of 99630

Prime Factorization of 99636

Now multiplying the highest exponent prime factors to calculate the LCM of 99630 and 99636.

LCM(99630,99636) = 2² × 3⁵ × 5¹ × 41¹ × 19² × 23¹
LCM(99630,99636) = 1654455780