What is the Least Common Multiple of 98640 and 98646?

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 98640 and 98646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98640 and 98646, than apply into the LCM equation.

GCF(98640,98646) = 6
LCM(98640,98646) = ( 98640 × 98646) / 6
LCM(98640,98646) = 9730441440 / 6
LCM(98640,98646) = 1621740240

Least Common Multiple (LCM) of 98640 and 98646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98640 and 98646. First we will calculate the prime factors of 98640 and 98646.

Prime Factorization of 98640

Prime Factorization of 98646

Now multiplying the highest exponent prime factors to calculate the LCM of 98640 and 98646.

LCM(98640,98646) = 2⁴ × 3² × 5¹ × 137¹ × 41¹ × 401¹
LCM(98640,98646) = 1621740240