What is the Least Common Multiple of 79182 and 79191?

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 79182 and 79191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79182 and 79191, than apply into the LCM equation.

GCF(79182,79191) = 9
LCM(79182,79191) = ( 79182 × 79191) / 9
LCM(79182,79191) = 6270501762 / 9
LCM(79182,79191) = 696722418

Least Common Multiple (LCM) of 79182 and 79191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79182 and 79191. First we will calculate the prime factors of 79182 and 79191.

Prime Factorization of 79182

Prime Factorization of 79191

Now multiplying the highest exponent prime factors to calculate the LCM of 79182 and 79191.

LCM(79182,79191) = 2¹ × 3³ × 53¹ × 83¹ × 7¹ × 419¹
LCM(79182,79191) = 696722418