What is the Least Common Multiple of 98914 and 98928?

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 98914 and 98928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98914 and 98928, than apply into the LCM equation.

GCF(98914,98928) = 2
LCM(98914,98928) = ( 98914 × 98928) / 2
LCM(98914,98928) = 9785364192 / 2
LCM(98914,98928) = 4892682096

Least Common Multiple (LCM) of 98914 and 98928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98914 and 98928. First we will calculate the prime factors of 98914 and 98928.

Prime Factorization of 98914

Prime Factorization of 98928

Now multiplying the highest exponent prime factors to calculate the LCM of 98914 and 98928.

LCM(98914,98928) = 2⁴ × 19² × 137¹ × 3³ × 229¹
LCM(98914,98928) = 4892682096