What is the Least Common Multiple of 94239 and 94248?

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 94239 and 94248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94239 and 94248, than apply into the LCM equation.

GCF(94239,94248) = 9
LCM(94239,94248) = ( 94239 × 94248) / 9
LCM(94239,94248) = 8881837272 / 9
LCM(94239,94248) = 986870808

Least Common Multiple (LCM) of 94239 and 94248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94239 and 94248. First we will calculate the prime factors of 94239 and 94248.

Prime Factorization of 94239

Prime Factorization of 94248

Now multiplying the highest exponent prime factors to calculate the LCM of 94239 and 94248.

LCM(94239,94248) = 3² × 37¹ × 283¹ × 2³ × 7¹ × 11¹ × 17¹
LCM(94239,94248) = 986870808