What is the Least Common Multiple of 94644 and 94656?

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 94644 and 94656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94644 and 94656, than apply into the LCM equation.

GCF(94644,94656) = 12
LCM(94644,94656) = ( 94644 × 94656) / 12
LCM(94644,94656) = 8958622464 / 12
LCM(94644,94656) = 746551872

Least Common Multiple (LCM) of 94644 and 94656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94644 and 94656. First we will calculate the prime factors of 94644 and 94656.

Prime Factorization of 94644

Prime Factorization of 94656

Now multiplying the highest exponent prime factors to calculate the LCM of 94644 and 94656.

LCM(94644,94656) = 2⁶ × 3² × 11¹ × 239¹ × 17¹ × 29¹
LCM(94644,94656) = 746551872