What is the Least Common Multiple of 14649 and 14661?

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 14649 and 14661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14649 and 14661, than apply into the LCM equation.

GCF(14649,14661) = 3
LCM(14649,14661) = ( 14649 × 14661) / 3
LCM(14649,14661) = 214768989 / 3
LCM(14649,14661) = 71589663

Least Common Multiple (LCM) of 14649 and 14661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14649 and 14661. First we will calculate the prime factors of 14649 and 14661.

Prime Factorization of 14649

Prime Factorization of 14661

Now multiplying the highest exponent prime factors to calculate the LCM of 14649 and 14661.

LCM(14649,14661) = 3⁴ × 19¹ × 257¹ × 181¹
LCM(14649,14661) = 71589663