What is the Least Common Multiple of 79167 and 79182?

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 79167 and 79182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79167 and 79182, than apply into the LCM equation.

GCF(79167,79182) = 3
LCM(79167,79182) = ( 79167 × 79182) / 3
LCM(79167,79182) = 6268601394 / 3
LCM(79167,79182) = 2089533798

Least Common Multiple (LCM) of 79167 and 79182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79167 and 79182. First we will calculate the prime factors of 79167 and 79182.

Prime Factorization of 79167

Prime Factorization of 79182

Now multiplying the highest exponent prime factors to calculate the LCM of 79167 and 79182.

LCM(79167,79182) = 3² × 11¹ × 2399¹ × 2¹ × 53¹ × 83¹
LCM(79167,79182) = 2089533798