What is the Least Common Multiple of 24234 and 24240?

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 24234 and 24240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24234 and 24240, than apply into the LCM equation.

GCF(24234,24240) = 6
LCM(24234,24240) = ( 24234 × 24240) / 6
LCM(24234,24240) = 587432160 / 6
LCM(24234,24240) = 97905360

Least Common Multiple (LCM) of 24234 and 24240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24234 and 24240. First we will calculate the prime factors of 24234 and 24240.

Prime Factorization of 24234

Prime Factorization of 24240

Now multiplying the highest exponent prime factors to calculate the LCM of 24234 and 24240.

LCM(24234,24240) = 2⁴ × 3¹ × 7¹ × 577¹ × 5¹ × 101¹
LCM(24234,24240) = 97905360