What is the Least Common Multiple of 14629 and 14641?

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 14629 and 14641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14629 and 14641, than apply into the LCM equation.

GCF(14629,14641) = 1
LCM(14629,14641) = ( 14629 × 14641) / 1
LCM(14629,14641) = 214183189 / 1
LCM(14629,14641) = 214183189

Least Common Multiple (LCM) of 14629 and 14641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14629 and 14641. First we will calculate the prime factors of 14629 and 14641.

Prime Factorization of 14629

Prime Factorization of 14641

Now multiplying the highest exponent prime factors to calculate the LCM of 14629 and 14641.

LCM(14629,14641) = 14629¹ × 11⁴
LCM(14629,14641) = 214183189