What is the Least Common Multiple of 47006 and 47018?

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 47006 and 47018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47006 and 47018, than apply into the LCM equation.

GCF(47006,47018) = 2
LCM(47006,47018) = ( 47006 × 47018) / 2
LCM(47006,47018) = 2210128108 / 2
LCM(47006,47018) = 1105064054

Least Common Multiple (LCM) of 47006 and 47018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47006 and 47018. First we will calculate the prime factors of 47006 and 47018.

Prime Factorization of 47006

Prime Factorization of 47018

Now multiplying the highest exponent prime factors to calculate the LCM of 47006 and 47018.

LCM(47006,47018) = 2¹ × 19¹ × 1237¹ × 23509¹
LCM(47006,47018) = 1105064054