What is the Least Common Multiple of 94239 and 94243?

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 94243 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 94243, than apply into the LCM equation.

GCF(94239,94243) = 1
LCM(94239,94243) = ( 94239 × 94243) / 1
LCM(94239,94243) = 8881366077 / 1
LCM(94239,94243) = 8881366077

Least Common Multiple (LCM) of 94239 and 94243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94239 and 94243. First we will calculate the prime factors of 94239 and 94243.

Prime Factorization of 94239

Prime Factorization of 94243

Now multiplying the highest exponent prime factors to calculate the LCM of 94239 and 94243.

LCM(94239,94243) = 3² × 37¹ × 283¹ × 73¹ × 1291¹
LCM(94239,94243) = 8881366077