What is the Least Common Multiple of 52008 and 52017?

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 52008 and 52017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52008 and 52017, than apply into the LCM equation.

GCF(52008,52017) = 3
LCM(52008,52017) = ( 52008 × 52017) / 3
LCM(52008,52017) = 2705300136 / 3
LCM(52008,52017) = 901766712

Least Common Multiple (LCM) of 52008 and 52017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52008 and 52017. First we will calculate the prime factors of 52008 and 52017.

Prime Factorization of 52008

Prime Factorization of 52017

Now multiplying the highest exponent prime factors to calculate the LCM of 52008 and 52017.

LCM(52008,52017) = 2³ × 3¹ × 11¹ × 197¹ × 7¹ × 2477¹
LCM(52008,52017) = 901766712