What is the Least Common Multiple of 14638 and 14645?

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 14638 and 14645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14638 and 14645, than apply into the LCM equation.

GCF(14638,14645) = 1
LCM(14638,14645) = ( 14638 × 14645) / 1
LCM(14638,14645) = 214373510 / 1
LCM(14638,14645) = 214373510

Least Common Multiple (LCM) of 14638 and 14645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14638 and 14645. First we will calculate the prime factors of 14638 and 14645.

Prime Factorization of 14638

Prime Factorization of 14645

Now multiplying the highest exponent prime factors to calculate the LCM of 14638 and 14645.

LCM(14638,14645) = 2¹ × 13¹ × 563¹ × 5¹ × 29¹ × 101¹
LCM(14638,14645) = 214373510