What is the Least Common Multiple of 53004 and 53020?

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 53004 and 53020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53004 and 53020, than apply into the LCM equation.

GCF(53004,53020) = 4
LCM(53004,53020) = ( 53004 × 53020) / 4
LCM(53004,53020) = 2810272080 / 4
LCM(53004,53020) = 702568020

Least Common Multiple (LCM) of 53004 and 53020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53004 and 53020. First we will calculate the prime factors of 53004 and 53020.

Prime Factorization of 53004

Prime Factorization of 53020

Now multiplying the highest exponent prime factors to calculate the LCM of 53004 and 53020.

LCM(53004,53020) = 2² × 3¹ × 7¹ × 631¹ × 5¹ × 11¹ × 241¹
LCM(53004,53020) = 702568020