What is the Least Common Multiple of 52500 and 52519?

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 52500 and 52519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52500 and 52519, than apply into the LCM equation.

GCF(52500,52519) = 1
LCM(52500,52519) = ( 52500 × 52519) / 1
LCM(52500,52519) = 2757247500 / 1
LCM(52500,52519) = 2757247500

Least Common Multiple (LCM) of 52500 and 52519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52500 and 52519. First we will calculate the prime factors of 52500 and 52519.

Prime Factorization of 52500

Prime Factorization of 52519

Now multiplying the highest exponent prime factors to calculate the LCM of 52500 and 52519.

LCM(52500,52519) = 2² × 3¹ × 5⁴ × 7¹ × 29¹ × 1811¹
LCM(52500,52519) = 2757247500