What is the Least Common Multiple of 52580 and 52600?

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 52580 and 52600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52580 and 52600, than apply into the LCM equation.

GCF(52580,52600) = 20
LCM(52580,52600) = ( 52580 × 52600) / 20
LCM(52580,52600) = 2765708000 / 20
LCM(52580,52600) = 138285400

Least Common Multiple (LCM) of 52580 and 52600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52580 and 52600. First we will calculate the prime factors of 52580 and 52600.

Prime Factorization of 52580

Prime Factorization of 52600

Now multiplying the highest exponent prime factors to calculate the LCM of 52580 and 52600.

LCM(52580,52600) = 2³ × 5² × 11¹ × 239¹ × 263¹
LCM(52580,52600) = 138285400