What is the Least Common Multiple of 98675 and 98690?

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 98690 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 98690, than apply into the LCM equation.

GCF(98675,98690) = 5
LCM(98675,98690) = ( 98675 × 98690) / 5
LCM(98675,98690) = 9738235750 / 5
LCM(98675,98690) = 1947647150

Least Common Multiple (LCM) of 98675 and 98690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98675 and 98690. First we will calculate the prime factors of 98675 and 98690.

Prime Factorization of 98675

Prime Factorization of 98690

Now multiplying the highest exponent prime factors to calculate the LCM of 98675 and 98690.

LCM(98675,98690) = 5² × 3947¹ × 2¹ × 71¹ × 139¹
LCM(98675,98690) = 1947647150