What is the Least Common Multiple of 98658 and 98672?

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 98658 and 98672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98658 and 98672, than apply into the LCM equation.

GCF(98658,98672) = 14
LCM(98658,98672) = ( 98658 × 98672) / 14
LCM(98658,98672) = 9734782176 / 14
LCM(98658,98672) = 695341584

Least Common Multiple (LCM) of 98658 and 98672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98658 and 98672. First we will calculate the prime factors of 98658 and 98672.

Prime Factorization of 98658

Prime Factorization of 98672

Now multiplying the highest exponent prime factors to calculate the LCM of 98658 and 98672.

LCM(98658,98672) = 2⁴ × 3⁵ × 7¹ × 29¹ × 881¹
LCM(98658,98672) = 695341584