What is the Least Common Multiple of 24240 and 24245?

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 24240 and 24245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24240 and 24245, than apply into the LCM equation.

GCF(24240,24245) = 5
LCM(24240,24245) = ( 24240 × 24245) / 5
LCM(24240,24245) = 587698800 / 5
LCM(24240,24245) = 117539760

Least Common Multiple (LCM) of 24240 and 24245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24240 and 24245. First we will calculate the prime factors of 24240 and 24245.

Prime Factorization of 24240

Prime Factorization of 24245

Now multiplying the highest exponent prime factors to calculate the LCM of 24240 and 24245.

LCM(24240,24245) = 2⁴ × 3¹ × 5¹ × 101¹ × 13¹ × 373¹
LCM(24240,24245) = 117539760