What is the Least Common Multiple of 98484 and 98488?

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 98484 and 98488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98484 and 98488, than apply into the LCM equation.

GCF(98484,98488) = 4
LCM(98484,98488) = ( 98484 × 98488) / 4
LCM(98484,98488) = 9699492192 / 4
LCM(98484,98488) = 2424873048

Least Common Multiple (LCM) of 98484 and 98488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98484 and 98488. First we will calculate the prime factors of 98484 and 98488.

Prime Factorization of 98484

Prime Factorization of 98488

Now multiplying the highest exponent prime factors to calculate the LCM of 98484 and 98488.

LCM(98484,98488) = 2³ × 3¹ × 29¹ × 283¹ × 13¹ × 947¹
LCM(98484,98488) = 2424873048