What is the Least Common Multiple of 99352 and 99366?

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 99352 and 99366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99352 and 99366, than apply into the LCM equation.

GCF(99352,99366) = 2
LCM(99352,99366) = ( 99352 × 99366) / 2
LCM(99352,99366) = 9872210832 / 2
LCM(99352,99366) = 4936105416

Least Common Multiple (LCM) of 99352 and 99366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99352 and 99366. First we will calculate the prime factors of 99352 and 99366.

Prime Factorization of 99352

Prime Factorization of 99366

Now multiplying the highest exponent prime factors to calculate the LCM of 99352 and 99366.

LCM(99352,99366) = 2³ × 11¹ × 1129¹ × 3¹ × 16561¹
LCM(99352,99366) = 4936105416