What is the Least Common Multiple of 92894 and 92900?

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 92894 and 92900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92894 and 92900, than apply into the LCM equation.

GCF(92894,92900) = 2
LCM(92894,92900) = ( 92894 × 92900) / 2
LCM(92894,92900) = 8629852600 / 2
LCM(92894,92900) = 4314926300

Least Common Multiple (LCM) of 92894 and 92900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92894 and 92900. First we will calculate the prime factors of 92894 and 92900.

Prime Factorization of 92894

Prime Factorization of 92900

Now multiplying the highest exponent prime factors to calculate the LCM of 92894 and 92900.

LCM(92894,92900) = 2² × 46447¹ × 5² × 929¹
LCM(92894,92900) = 4314926300