What is the Least Common Multiple of 99546 and 99564?

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 99546 and 99564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99546 and 99564, than apply into the LCM equation.

GCF(99546,99564) = 6
LCM(99546,99564) = ( 99546 × 99564) / 6
LCM(99546,99564) = 9911197944 / 6
LCM(99546,99564) = 1651866324

Least Common Multiple (LCM) of 99546 and 99564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99546 and 99564. First we will calculate the prime factors of 99546 and 99564.

Prime Factorization of 99546

Prime Factorization of 99564

Now multiplying the highest exponent prime factors to calculate the LCM of 99546 and 99564.

LCM(99546,99564) = 2² × 3¹ × 47¹ × 353¹ × 8297¹
LCM(99546,99564) = 1651866324