What is the Least Common Multiple of 14280 and 14296?

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 14280 and 14296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14280 and 14296, than apply into the LCM equation.

GCF(14280,14296) = 8
LCM(14280,14296) = ( 14280 × 14296) / 8
LCM(14280,14296) = 204146880 / 8
LCM(14280,14296) = 25518360

Least Common Multiple (LCM) of 14280 and 14296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14280 and 14296. First we will calculate the prime factors of 14280 and 14296.

Prime Factorization of 14280

Prime Factorization of 14296

Now multiplying the highest exponent prime factors to calculate the LCM of 14280 and 14296.

LCM(14280,14296) = 2³ × 3¹ × 5¹ × 7¹ × 17¹ × 1787¹
LCM(14280,14296) = 25518360