What is the Least Common Multiple of 99800 and 99816?

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 99800 and 99816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99800 and 99816, than apply into the LCM equation.

GCF(99800,99816) = 8
LCM(99800,99816) = ( 99800 × 99816) / 8
LCM(99800,99816) = 9961636800 / 8
LCM(99800,99816) = 1245204600

Least Common Multiple (LCM) of 99800 and 99816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99800 and 99816. First we will calculate the prime factors of 99800 and 99816.

Prime Factorization of 99800

Prime Factorization of 99816

Now multiplying the highest exponent prime factors to calculate the LCM of 99800 and 99816.

LCM(99800,99816) = 2³ × 5² × 499¹ × 3¹ × 4159¹
LCM(99800,99816) = 1245204600