What is the Least Common Multiple of 92250 and 92257?

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 92250 and 92257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92250 and 92257, than apply into the LCM equation.

GCF(92250,92257) = 1
LCM(92250,92257) = ( 92250 × 92257) / 1
LCM(92250,92257) = 8510708250 / 1
LCM(92250,92257) = 8510708250

Least Common Multiple (LCM) of 92250 and 92257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92250 and 92257. First we will calculate the prime factors of 92250 and 92257.

Prime Factorization of 92250

Prime Factorization of 92257

Now multiplying the highest exponent prime factors to calculate the LCM of 92250 and 92257.

LCM(92250,92257) = 2¹ × 3² × 5³ × 41¹ × 11¹ × 8387¹
LCM(92250,92257) = 8510708250