What is the Least Common Multiple of 52500 and 52510?

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 52510 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 52510, than apply into the LCM equation.

GCF(52500,52510) = 10
LCM(52500,52510) = ( 52500 × 52510) / 10
LCM(52500,52510) = 2756775000 / 10
LCM(52500,52510) = 275677500

Least Common Multiple (LCM) of 52500 and 52510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52500 and 52510. First we will calculate the prime factors of 52500 and 52510.

Prime Factorization of 52500

Prime Factorization of 52510

Now multiplying the highest exponent prime factors to calculate the LCM of 52500 and 52510.

LCM(52500,52510) = 2² × 3¹ × 5⁴ × 7¹ × 59¹ × 89¹
LCM(52500,52510) = 275677500