What is the Least Common Multiple of 24450 and 24462?

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 24450 and 24462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24450 and 24462, than apply into the LCM equation.

GCF(24450,24462) = 6
LCM(24450,24462) = ( 24450 × 24462) / 6
LCM(24450,24462) = 598095900 / 6
LCM(24450,24462) = 99682650

Least Common Multiple (LCM) of 24450 and 24462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24450 and 24462. First we will calculate the prime factors of 24450 and 24462.

Prime Factorization of 24450

Prime Factorization of 24462

Now multiplying the highest exponent prime factors to calculate the LCM of 24450 and 24462.

LCM(24450,24462) = 2¹ × 3⁴ × 5² × 163¹ × 151¹
LCM(24450,24462) = 99682650