What is the Least Common Multiple of 94256 and 94276?

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 94276 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 94276, than apply into the LCM equation.

GCF(94256,94276) = 4
LCM(94256,94276) = ( 94256 × 94276) / 4
LCM(94256,94276) = 8886078656 / 4
LCM(94256,94276) = 2221519664

Least Common Multiple (LCM) of 94256 and 94276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94256 and 94276. First we will calculate the prime factors of 94256 and 94276.

Prime Factorization of 94256

Prime Factorization of 94276

Now multiplying the highest exponent prime factors to calculate the LCM of 94256 and 94276.

LCM(94256,94276) = 2⁴ × 43¹ × 137¹ × 7² × 13¹ × 37¹
LCM(94256,94276) = 2221519664