What is the Least Common Multiple of 98635 and 98640?

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 98635 and 98640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98635 and 98640, than apply into the LCM equation.

GCF(98635,98640) = 5
LCM(98635,98640) = ( 98635 × 98640) / 5
LCM(98635,98640) = 9729356400 / 5
LCM(98635,98640) = 1945871280

Least Common Multiple (LCM) of 98635 and 98640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98635 and 98640. First we will calculate the prime factors of 98635 and 98640.

Prime Factorization of 98635

Prime Factorization of 98640

Now multiplying the highest exponent prime factors to calculate the LCM of 98635 and 98640.

LCM(98635,98640) = 5¹ × 19727¹ × 2⁴ × 3² × 137¹
LCM(98635,98640) = 1945871280