What is the Least Common Multiple of 98113 and 98132?

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 98113 and 98132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98113 and 98132, than apply into the LCM equation.

GCF(98113,98132) = 1
LCM(98113,98132) = ( 98113 × 98132) / 1
LCM(98113,98132) = 9628024916 / 1
LCM(98113,98132) = 9628024916

Least Common Multiple (LCM) of 98113 and 98132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98113 and 98132. First we will calculate the prime factors of 98113 and 98132.

Prime Factorization of 98113

Prime Factorization of 98132

Now multiplying the highest exponent prime factors to calculate the LCM of 98113 and 98132.

LCM(98113,98132) = 41¹ × 2393¹ × 2² × 24533¹
LCM(98113,98132) = 9628024916