What is the Least Common Multiple of 79894 and 79900?

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 79894 and 79900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79894 and 79900, than apply into the LCM equation.

GCF(79894,79900) = 2
LCM(79894,79900) = ( 79894 × 79900) / 2
LCM(79894,79900) = 6383530600 / 2
LCM(79894,79900) = 3191765300

Least Common Multiple (LCM) of 79894 and 79900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79894 and 79900. First we will calculate the prime factors of 79894 and 79900.

Prime Factorization of 79894

Prime Factorization of 79900

Now multiplying the highest exponent prime factors to calculate the LCM of 79894 and 79900.

LCM(79894,79900) = 2² × 43¹ × 929¹ × 5² × 17¹ × 47¹
LCM(79894,79900) = 3191765300