What is the Least Common Multiple of 94239 and 94255?

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 94255 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 94255, than apply into the LCM equation.

GCF(94239,94255) = 1
LCM(94239,94255) = ( 94239 × 94255) / 1
LCM(94239,94255) = 8882496945 / 1
LCM(94239,94255) = 8882496945

Least Common Multiple (LCM) of 94239 and 94255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94239 and 94255. First we will calculate the prime factors of 94239 and 94255.

Prime Factorization of 94239

Prime Factorization of 94255

Now multiplying the highest exponent prime factors to calculate the LCM of 94239 and 94255.

LCM(94239,94255) = 3² × 37¹ × 283¹ × 5¹ × 7¹ × 2693¹
LCM(94239,94255) = 8882496945