What is the Least Common Multiple of 79189 and 79208?

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 79189 and 79208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79189 and 79208, than apply into the LCM equation.

GCF(79189,79208) = 1
LCM(79189,79208) = ( 79189 × 79208) / 1
LCM(79189,79208) = 6272402312 / 1
LCM(79189,79208) = 6272402312

Least Common Multiple (LCM) of 79189 and 79208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79189 and 79208. First we will calculate the prime factors of 79189 and 79208.

Prime Factorization of 79189

Prime Factorization of 79208

Now multiplying the highest exponent prime factors to calculate the LCM of 79189 and 79208.

LCM(79189,79208) = 11¹ × 23¹ × 313¹ × 2³ × 9901¹
LCM(79189,79208) = 6272402312