What is the Least Common Multiple of 24435 and 24450?

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 24435 and 24450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24435 and 24450, than apply into the LCM equation.

GCF(24435,24450) = 15
LCM(24435,24450) = ( 24435 × 24450) / 15
LCM(24435,24450) = 597435750 / 15
LCM(24435,24450) = 39829050

Least Common Multiple (LCM) of 24435 and 24450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24435 and 24450. First we will calculate the prime factors of 24435 and 24450.

Prime Factorization of 24435

Prime Factorization of 24450

Now multiplying the highest exponent prime factors to calculate the LCM of 24435 and 24450.

LCM(24435,24450) = 3³ × 5² × 181¹ × 2¹ × 163¹
LCM(24435,24450) = 39829050