What is the Least Common Multiple of 24240 and 24258?

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 24258 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 24258, than apply into the LCM equation.

GCF(24240,24258) = 6
LCM(24240,24258) = ( 24240 × 24258) / 6
LCM(24240,24258) = 588013920 / 6
LCM(24240,24258) = 98002320

Least Common Multiple (LCM) of 24240 and 24258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24240 and 24258. First we will calculate the prime factors of 24240 and 24258.

Prime Factorization of 24240

Prime Factorization of 24258

Now multiplying the highest exponent prime factors to calculate the LCM of 24240 and 24258.

LCM(24240,24258) = 2⁴ × 3¹ × 5¹ × 101¹ × 13¹ × 311¹
LCM(24240,24258) = 98002320