What is the Least Common Multiple of 79900 and 79917?

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 79917 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 79917, than apply into the LCM equation.

GCF(79900,79917) = 17
LCM(79900,79917) = ( 79900 × 79917) / 17
LCM(79900,79917) = 6385368300 / 17
LCM(79900,79917) = 375609900

Least Common Multiple (LCM) of 79900 and 79917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79900 and 79917. First we will calculate the prime factors of 79900 and 79917.

Prime Factorization of 79900

Prime Factorization of 79917

Now multiplying the highest exponent prime factors to calculate the LCM of 79900 and 79917.

LCM(79900,79917) = 2² × 5² × 17¹ × 47¹ × 3¹ × 1567¹
LCM(79900,79917) = 375609900