What is the Least Common Multiple of 79611 and 79626?

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 79611 and 79626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79611 and 79626, than apply into the LCM equation.

GCF(79611,79626) = 3
LCM(79611,79626) = ( 79611 × 79626) / 3
LCM(79611,79626) = 6339105486 / 3
LCM(79611,79626) = 2113035162

Least Common Multiple (LCM) of 79611 and 79626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79611 and 79626. First we will calculate the prime factors of 79611 and 79626.

Prime Factorization of 79611

Prime Factorization of 79626

Now multiplying the highest exponent prime factors to calculate the LCM of 79611 and 79626.

LCM(79611,79626) = 3¹ × 7¹ × 17¹ × 223¹ × 2¹ × 23¹ × 577¹
LCM(79611,79626) = 2113035162