What is the Least Common Multiple of 23240 and 23250?

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 23240 and 23250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23240 and 23250, than apply into the LCM equation.

GCF(23240,23250) = 10
LCM(23240,23250) = ( 23240 × 23250) / 10
LCM(23240,23250) = 540330000 / 10
LCM(23240,23250) = 54033000

Least Common Multiple (LCM) of 23240 and 23250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23240 and 23250. First we will calculate the prime factors of 23240 and 23250.

Prime Factorization of 23240

Prime Factorization of 23250

Now multiplying the highest exponent prime factors to calculate the LCM of 23240 and 23250.

LCM(23240,23250) = 2³ × 5³ × 7¹ × 83¹ × 3¹ × 31¹
LCM(23240,23250) = 54033000