What is the Least Common Multiple of 98478 and 98484?

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 98478 and 98484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98478 and 98484, than apply into the LCM equation.

GCF(98478,98484) = 6
LCM(98478,98484) = ( 98478 × 98484) / 6
LCM(98478,98484) = 9698507352 / 6
LCM(98478,98484) = 1616417892

Least Common Multiple (LCM) of 98478 and 98484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98478 and 98484. First we will calculate the prime factors of 98478 and 98484.

Prime Factorization of 98478

Prime Factorization of 98484

Now multiplying the highest exponent prime factors to calculate the LCM of 98478 and 98484.

LCM(98478,98484) = 2² × 3² × 5471¹ × 29¹ × 283¹
LCM(98478,98484) = 1616417892