What is the Least Common Multiple of 56005 and 56014?

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 56005 and 56014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56005 and 56014, than apply into the LCM equation.

GCF(56005,56014) = 1
LCM(56005,56014) = ( 56005 × 56014) / 1
LCM(56005,56014) = 3137064070 / 1
LCM(56005,56014) = 3137064070

Least Common Multiple (LCM) of 56005 and 56014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56005 and 56014. First we will calculate the prime factors of 56005 and 56014.

Prime Factorization of 56005

Prime Factorization of 56014

Now multiplying the highest exponent prime factors to calculate the LCM of 56005 and 56014.

LCM(56005,56014) = 5¹ × 23¹ × 487¹ × 2¹ × 7¹ × 4001¹
LCM(56005,56014) = 3137064070