What is the Least Common Multiple of 94256 and 94274?

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 94274 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 94274, than apply into the LCM equation.

GCF(94256,94274) = 2
LCM(94256,94274) = ( 94256 × 94274) / 2
LCM(94256,94274) = 8885890144 / 2
LCM(94256,94274) = 4442945072

Least Common Multiple (LCM) of 94256 and 94274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94256 and 94274. First we will calculate the prime factors of 94256 and 94274.

Prime Factorization of 94256

Prime Factorization of 94274

Now multiplying the highest exponent prime factors to calculate the LCM of 94256 and 94274.

LCM(94256,94274) = 2⁴ × 43¹ × 137¹ × 47137¹
LCM(94256,94274) = 4442945072