What is the Least Common Multiple of 99468 and 99480?

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 99468 and 99480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99468 and 99480, than apply into the LCM equation.

GCF(99468,99480) = 12
LCM(99468,99480) = ( 99468 × 99480) / 12
LCM(99468,99480) = 9895076640 / 12
LCM(99468,99480) = 824589720

Least Common Multiple (LCM) of 99468 and 99480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99468 and 99480. First we will calculate the prime factors of 99468 and 99480.

Prime Factorization of 99468

Prime Factorization of 99480

Now multiplying the highest exponent prime factors to calculate the LCM of 99468 and 99480.

LCM(99468,99480) = 2³ × 3⁴ × 307¹ × 5¹ × 829¹
LCM(99468,99480) = 824589720