What is the Least Common Multiple of 99208 and 99228?

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 99208 and 99228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99208 and 99228, than apply into the LCM equation.

GCF(99208,99228) = 4
LCM(99208,99228) = ( 99208 × 99228) / 4
LCM(99208,99228) = 9844211424 / 4
LCM(99208,99228) = 2461052856

Least Common Multiple (LCM) of 99208 and 99228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99208 and 99228. First we will calculate the prime factors of 99208 and 99228.

Prime Factorization of 99208

Prime Factorization of 99228

Now multiplying the highest exponent prime factors to calculate the LCM of 99208 and 99228.

LCM(99208,99228) = 2³ × 12401¹ × 3¹ × 8269¹
LCM(99208,99228) = 2461052856