What is the Least Common Multiple of 24234 and 24249?

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 24249 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 24249, than apply into the LCM equation.

GCF(24234,24249) = 3
LCM(24234,24249) = ( 24234 × 24249) / 3
LCM(24234,24249) = 587650266 / 3
LCM(24234,24249) = 195883422

Least Common Multiple (LCM) of 24234 and 24249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24234 and 24249. First we will calculate the prime factors of 24234 and 24249.

Prime Factorization of 24234

Prime Factorization of 24249

Now multiplying the highest exponent prime factors to calculate the LCM of 24234 and 24249.

LCM(24234,24249) = 2¹ × 3¹ × 7¹ × 577¹ × 59¹ × 137¹
LCM(24234,24249) = 195883422