What is the Least Common Multiple of 94000 and 94014?

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 94000 and 94014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94000 and 94014, than apply into the LCM equation.

GCF(94000,94014) = 2
LCM(94000,94014) = ( 94000 × 94014) / 2
LCM(94000,94014) = 8837316000 / 2
LCM(94000,94014) = 4418658000

Least Common Multiple (LCM) of 94000 and 94014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94000 and 94014. First we will calculate the prime factors of 94000 and 94014.

Prime Factorization of 94000

Prime Factorization of 94014

Now multiplying the highest exponent prime factors to calculate the LCM of 94000 and 94014.

LCM(94000,94014) = 2⁴ × 5³ × 47¹ × 3³ × 1741¹
LCM(94000,94014) = 4418658000