What is the Least Common Multiple of 94250 and 94270?

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 94250 and 94270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94250 and 94270, than apply into the LCM equation.

GCF(94250,94270) = 10
LCM(94250,94270) = ( 94250 × 94270) / 10
LCM(94250,94270) = 8884947500 / 10
LCM(94250,94270) = 888494750

Least Common Multiple (LCM) of 94250 and 94270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94250 and 94270. First we will calculate the prime factors of 94250 and 94270.

Prime Factorization of 94250

Prime Factorization of 94270

Now multiplying the highest exponent prime factors to calculate the LCM of 94250 and 94270.

LCM(94250,94270) = 2¹ × 5³ × 13¹ × 29¹ × 11¹ × 857¹
LCM(94250,94270) = 888494750