What is the Least Common Multiple of 94256 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 94256 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 94256 and 94270, than apply into the LCM equation.

GCF(94256,94270) = 2
LCM(94256,94270) = ( 94256 × 94270) / 2
LCM(94256,94270) = 8885513120 / 2
LCM(94256,94270) = 4442756560

Least Common Multiple (LCM) of 94256 and 94270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94256 and 94270. First we will calculate the prime factors of 94256 and 94270.

Prime Factorization of 94256

Prime Factorization of 94270

Now multiplying the highest exponent prime factors to calculate the LCM of 94256 and 94270.

LCM(94256,94270) = 2⁴ × 43¹ × 137¹ × 5¹ × 11¹ × 857¹
LCM(94256,94270) = 4442756560