What is the Least Common Multiple of 53007 and 53024?

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 53007 and 53024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53007 and 53024, than apply into the LCM equation.

GCF(53007,53024) = 1
LCM(53007,53024) = ( 53007 × 53024) / 1
LCM(53007,53024) = 2810643168 / 1
LCM(53007,53024) = 2810643168

Least Common Multiple (LCM) of 53007 and 53024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53007 and 53024. First we will calculate the prime factors of 53007 and 53024.

Prime Factorization of 53007

Prime Factorization of 53024

Now multiplying the highest exponent prime factors to calculate the LCM of 53007 and 53024.

LCM(53007,53024) = 3¹ × 17669¹ × 2⁵ × 1657¹
LCM(53007,53024) = 2810643168