What is the Least Common Multiple of 14260 and 14278?

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 14260 and 14278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14260 and 14278, than apply into the LCM equation.

GCF(14260,14278) = 2
LCM(14260,14278) = ( 14260 × 14278) / 2
LCM(14260,14278) = 203604280 / 2
LCM(14260,14278) = 101802140

Least Common Multiple (LCM) of 14260 and 14278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14260 and 14278. First we will calculate the prime factors of 14260 and 14278.

Prime Factorization of 14260

Prime Factorization of 14278

Now multiplying the highest exponent prime factors to calculate the LCM of 14260 and 14278.

LCM(14260,14278) = 2² × 5¹ × 23¹ × 31¹ × 11² × 59¹
LCM(14260,14278) = 101802140