What is the Least Common Multiple of 14744 and 14756?

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 14744 and 14756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14744 and 14756, than apply into the LCM equation.

GCF(14744,14756) = 4
LCM(14744,14756) = ( 14744 × 14756) / 4
LCM(14744,14756) = 217562464 / 4
LCM(14744,14756) = 54390616

Least Common Multiple (LCM) of 14744 and 14756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14744 and 14756. First we will calculate the prime factors of 14744 and 14756.

Prime Factorization of 14744

Prime Factorization of 14756

Now multiplying the highest exponent prime factors to calculate the LCM of 14744 and 14756.

LCM(14744,14756) = 2³ × 19¹ × 97¹ × 7¹ × 17¹ × 31¹
LCM(14744,14756) = 54390616