What is the Least Common Multiple of 79900 and 79906?

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 79900 and 79906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79900 and 79906, than apply into the LCM equation.

GCF(79900,79906) = 2
LCM(79900,79906) = ( 79900 × 79906) / 2
LCM(79900,79906) = 6384489400 / 2
LCM(79900,79906) = 3192244700

Least Common Multiple (LCM) of 79900 and 79906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79900 and 79906. First we will calculate the prime factors of 79900 and 79906.

Prime Factorization of 79900

Prime Factorization of 79906

Now multiplying the highest exponent prime factors to calculate the LCM of 79900 and 79906.

LCM(79900,79906) = 2² × 5² × 17¹ × 47¹ × 39953¹
LCM(79900,79906) = 3192244700