What is the Least Common Multiple of 14272 and 14280?

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 14272 and 14280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14272 and 14280, than apply into the LCM equation.

GCF(14272,14280) = 8
LCM(14272,14280) = ( 14272 × 14280) / 8
LCM(14272,14280) = 203804160 / 8
LCM(14272,14280) = 25475520

Least Common Multiple (LCM) of 14272 and 14280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14272 and 14280. First we will calculate the prime factors of 14272 and 14280.

Prime Factorization of 14272

Prime Factorization of 14280

Now multiplying the highest exponent prime factors to calculate the LCM of 14272 and 14280.

LCM(14272,14280) = 2⁶ × 223¹ × 3¹ × 5¹ × 7¹ × 17¹
LCM(14272,14280) = 25475520