What is the Least Common Multiple of 98424 and 98432?

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 98424 and 98432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98424 and 98432, than apply into the LCM equation.

GCF(98424,98432) = 8
LCM(98424,98432) = ( 98424 × 98432) / 8
LCM(98424,98432) = 9688071168 / 8
LCM(98424,98432) = 1211008896

Least Common Multiple (LCM) of 98424 and 98432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98424 and 98432. First we will calculate the prime factors of 98424 and 98432.

Prime Factorization of 98424

Prime Factorization of 98432

Now multiplying the highest exponent prime factors to calculate the LCM of 98424 and 98432.

LCM(98424,98432) = 2⁷ × 3² × 1367¹ × 769¹
LCM(98424,98432) = 1211008896