What is the Least Common Multiple of 98658 and 98667?

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 98667 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 98667, than apply into the LCM equation.

GCF(98658,98667) = 9
LCM(98658,98667) = ( 98658 × 98667) / 9
LCM(98658,98667) = 9734288886 / 9
LCM(98658,98667) = 1081587654

Least Common Multiple (LCM) of 98658 and 98667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98658 and 98667. First we will calculate the prime factors of 98658 and 98667.

Prime Factorization of 98658

Prime Factorization of 98667

Now multiplying the highest exponent prime factors to calculate the LCM of 98658 and 98667.

LCM(98658,98667) = 2¹ × 3⁵ × 7¹ × 29¹ × 19¹ × 577¹
LCM(98658,98667) = 1081587654