What is the Least Common Multiple of 24225 and 24230?

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 24225 and 24230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24225 and 24230, than apply into the LCM equation.

GCF(24225,24230) = 5
LCM(24225,24230) = ( 24225 × 24230) / 5
LCM(24225,24230) = 586971750 / 5
LCM(24225,24230) = 117394350

Least Common Multiple (LCM) of 24225 and 24230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24225 and 24230. First we will calculate the prime factors of 24225 and 24230.

Prime Factorization of 24225

Prime Factorization of 24230

Now multiplying the highest exponent prime factors to calculate the LCM of 24225 and 24230.

LCM(24225,24230) = 3¹ × 5² × 17¹ × 19¹ × 2¹ × 2423¹
LCM(24225,24230) = 117394350