What is the Least Common Multiple of 98612 and 98626?

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 98612 and 98626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98612 and 98626, than apply into the LCM equation.

GCF(98612,98626) = 2
LCM(98612,98626) = ( 98612 × 98626) / 2
LCM(98612,98626) = 9725707112 / 2
LCM(98612,98626) = 4862853556

Least Common Multiple (LCM) of 98612 and 98626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98612 and 98626. First we will calculate the prime factors of 98612 and 98626.

Prime Factorization of 98612

Prime Factorization of 98626

Now multiplying the highest exponent prime factors to calculate the LCM of 98612 and 98626.

LCM(98612,98626) = 2² × 89¹ × 277¹ × 11¹ × 4483¹
LCM(98612,98626) = 4862853556