What is the Least Common Multiple of 52240 and 52250?

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 52240 and 52250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52240 and 52250, than apply into the LCM equation.

GCF(52240,52250) = 10
LCM(52240,52250) = ( 52240 × 52250) / 10
LCM(52240,52250) = 2729540000 / 10
LCM(52240,52250) = 272954000

Least Common Multiple (LCM) of 52240 and 52250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52240 and 52250. First we will calculate the prime factors of 52240 and 52250.

Prime Factorization of 52240

Prime Factorization of 52250

Now multiplying the highest exponent prime factors to calculate the LCM of 52240 and 52250.

LCM(52240,52250) = 2⁴ × 5³ × 653¹ × 11¹ × 19¹
LCM(52240,52250) = 272954000