What is the Least Common Multiple of 14466 and 14478?

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 14466 and 14478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14466 and 14478, than apply into the LCM equation.

GCF(14466,14478) = 6
LCM(14466,14478) = ( 14466 × 14478) / 6
LCM(14466,14478) = 209438748 / 6
LCM(14466,14478) = 34906458

Least Common Multiple (LCM) of 14466 and 14478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14466 and 14478. First we will calculate the prime factors of 14466 and 14478.

Prime Factorization of 14466

Prime Factorization of 14478

Now multiplying the highest exponent prime factors to calculate the LCM of 14466 and 14478.

LCM(14466,14478) = 2¹ × 3¹ × 2411¹ × 19¹ × 127¹
LCM(14466,14478) = 34906458