What is the Least Common Multiple of 98670 and 98675?

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 98670 and 98675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98670 and 98675, than apply into the LCM equation.

GCF(98670,98675) = 5
LCM(98670,98675) = ( 98670 × 98675) / 5
LCM(98670,98675) = 9736262250 / 5
LCM(98670,98675) = 1947252450

Least Common Multiple (LCM) of 98670 and 98675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98670 and 98675. First we will calculate the prime factors of 98670 and 98675.

Prime Factorization of 98670

Prime Factorization of 98675

Now multiplying the highest exponent prime factors to calculate the LCM of 98670 and 98675.

LCM(98670,98675) = 2¹ × 3¹ × 5² × 11¹ × 13¹ × 23¹ × 3947¹
LCM(98670,98675) = 1947252450