What is the Least Common Multiple of 17424 and 17430?

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 17424 and 17430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17424 and 17430, than apply into the LCM equation.

GCF(17424,17430) = 6
LCM(17424,17430) = ( 17424 × 17430) / 6
LCM(17424,17430) = 303700320 / 6
LCM(17424,17430) = 50616720

Least Common Multiple (LCM) of 17424 and 17430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17424 and 17430. First we will calculate the prime factors of 17424 and 17430.

Prime Factorization of 17424

Prime Factorization of 17430

Now multiplying the highest exponent prime factors to calculate the LCM of 17424 and 17430.

LCM(17424,17430) = 2⁴ × 3² × 11² × 5¹ × 7¹ × 83¹
LCM(17424,17430) = 50616720