What is the Least Common Multiple of 99480 and 99498?

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 99480 and 99498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99480 and 99498, than apply into the LCM equation.

GCF(99480,99498) = 6
LCM(99480,99498) = ( 99480 × 99498) / 6
LCM(99480,99498) = 9898061040 / 6
LCM(99480,99498) = 1649676840

Least Common Multiple (LCM) of 99480 and 99498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99480 and 99498. First we will calculate the prime factors of 99480 and 99498.

Prime Factorization of 99480

Prime Factorization of 99498

Now multiplying the highest exponent prime factors to calculate the LCM of 99480 and 99498.

LCM(99480,99498) = 2³ × 3¹ × 5¹ × 829¹ × 7¹ × 23¹ × 103¹
LCM(99480,99498) = 1649676840