What is the Least Common Multiple of 83610 and 83626?

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 83610 and 83626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83610 and 83626, than apply into the LCM equation.

GCF(83610,83626) = 2
LCM(83610,83626) = ( 83610 × 83626) / 2
LCM(83610,83626) = 6991969860 / 2
LCM(83610,83626) = 3495984930

Least Common Multiple (LCM) of 83610 and 83626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83610 and 83626. First we will calculate the prime factors of 83610 and 83626.

Prime Factorization of 83610

Prime Factorization of 83626

Now multiplying the highest exponent prime factors to calculate the LCM of 83610 and 83626.

LCM(83610,83626) = 2¹ × 3² × 5¹ × 929¹ × 41813¹
LCM(83610,83626) = 3495984930