What is the Least Common Multiple of 98675 and 98680?

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 98675 and 98680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98675 and 98680, than apply into the LCM equation.

GCF(98675,98680) = 5
LCM(98675,98680) = ( 98675 × 98680) / 5
LCM(98675,98680) = 9737249000 / 5
LCM(98675,98680) = 1947449800

Least Common Multiple (LCM) of 98675 and 98680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98675 and 98680. First we will calculate the prime factors of 98675 and 98680.

Prime Factorization of 98675

Prime Factorization of 98680

Now multiplying the highest exponent prime factors to calculate the LCM of 98675 and 98680.

LCM(98675,98680) = 5² × 3947¹ × 2³ × 2467¹
LCM(98675,98680) = 1947449800