What is the Least Common Multiple of 62007 and 62018?

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 62007 and 62018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62007 and 62018, than apply into the LCM equation.

GCF(62007,62018) = 11
LCM(62007,62018) = ( 62007 × 62018) / 11
LCM(62007,62018) = 3845550126 / 11
LCM(62007,62018) = 349595466

Least Common Multiple (LCM) of 62007 and 62018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62007 and 62018. First we will calculate the prime factors of 62007 and 62018.

Prime Factorization of 62007

Prime Factorization of 62018

Now multiplying the highest exponent prime factors to calculate the LCM of 62007 and 62018.

LCM(62007,62018) = 3¹ × 11¹ × 1879¹ × 2¹ × 2819¹
LCM(62007,62018) = 349595466