What is the Least Common Multiple of 24463 and 24480?

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 24463 and 24480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24463 and 24480, than apply into the LCM equation.

GCF(24463,24480) = 17
LCM(24463,24480) = ( 24463 × 24480) / 17
LCM(24463,24480) = 598854240 / 17
LCM(24463,24480) = 35226720

Least Common Multiple (LCM) of 24463 and 24480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24463 and 24480. First we will calculate the prime factors of 24463 and 24480.

Prime Factorization of 24463

Prime Factorization of 24480

Now multiplying the highest exponent prime factors to calculate the LCM of 24463 and 24480.

LCM(24463,24480) = 17¹ × 1439¹ × 2⁵ × 3² × 5¹
LCM(24463,24480) = 35226720