What is the Least Common Multiple of 14760 and 14774?

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 14760 and 14774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14760 and 14774, than apply into the LCM equation.

GCF(14760,14774) = 2
LCM(14760,14774) = ( 14760 × 14774) / 2
LCM(14760,14774) = 218064240 / 2
LCM(14760,14774) = 109032120

Least Common Multiple (LCM) of 14760 and 14774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14760 and 14774. First we will calculate the prime factors of 14760 and 14774.

Prime Factorization of 14760

Prime Factorization of 14774

Now multiplying the highest exponent prime factors to calculate the LCM of 14760 and 14774.

LCM(14760,14774) = 2³ × 3² × 5¹ × 41¹ × 83¹ × 89¹
LCM(14760,14774) = 109032120