What is the Least Common Multiple of 94576 and 94588?

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 94576 and 94588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94576 and 94588, than apply into the LCM equation.

GCF(94576,94588) = 4
LCM(94576,94588) = ( 94576 × 94588) / 4
LCM(94576,94588) = 8945754688 / 4
LCM(94576,94588) = 2236438672

Least Common Multiple (LCM) of 94576 and 94588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94576 and 94588. First we will calculate the prime factors of 94576 and 94588.

Prime Factorization of 94576

Prime Factorization of 94588

Now multiplying the highest exponent prime factors to calculate the LCM of 94576 and 94588.

LCM(94576,94588) = 2⁴ × 23¹ × 257¹ × 13¹ × 17¹ × 107¹
LCM(94576,94588) = 2236438672