What is the Least Common Multiple of 14636 and 14649?

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 14636 and 14649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14636 and 14649, than apply into the LCM equation.

GCF(14636,14649) = 1
LCM(14636,14649) = ( 14636 × 14649) / 1
LCM(14636,14649) = 214402764 / 1
LCM(14636,14649) = 214402764

Least Common Multiple (LCM) of 14636 and 14649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14636 and 14649. First we will calculate the prime factors of 14636 and 14649.

Prime Factorization of 14636

Prime Factorization of 14649

Now multiplying the highest exponent prime factors to calculate the LCM of 14636 and 14649.

LCM(14636,14649) = 2² × 3659¹ × 3¹ × 19¹ × 257¹
LCM(14636,14649) = 214402764