What is the Least Common Multiple of 92900 and 92917?

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 92900 and 92917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92900 and 92917, than apply into the LCM equation.

GCF(92900,92917) = 1
LCM(92900,92917) = ( 92900 × 92917) / 1
LCM(92900,92917) = 8631989300 / 1
LCM(92900,92917) = 8631989300

Least Common Multiple (LCM) of 92900 and 92917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92900 and 92917. First we will calculate the prime factors of 92900 and 92917.

Prime Factorization of 92900

Prime Factorization of 92917

Now multiplying the highest exponent prime factors to calculate the LCM of 92900 and 92917.

LCM(92900,92917) = 2² × 5² × 929¹ × 11¹ × 8447¹
LCM(92900,92917) = 8631989300