What is the Least Common Multiple of 98716 and 98725?

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 98716 and 98725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98716 and 98725, than apply into the LCM equation.

GCF(98716,98725) = 1
LCM(98716,98725) = ( 98716 × 98725) / 1
LCM(98716,98725) = 9745737100 / 1
LCM(98716,98725) = 9745737100

Least Common Multiple (LCM) of 98716 and 98725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98716 and 98725. First we will calculate the prime factors of 98716 and 98725.

Prime Factorization of 98716

Prime Factorization of 98725

Now multiplying the highest exponent prime factors to calculate the LCM of 98716 and 98725.

LCM(98716,98725) = 2² × 23¹ × 29¹ × 37¹ × 5² × 11¹ × 359¹
LCM(98716,98725) = 9745737100