What is the Least Common Multiple of 14601 and 14621?

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 14601 and 14621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14601 and 14621, than apply into the LCM equation.

GCF(14601,14621) = 1
LCM(14601,14621) = ( 14601 × 14621) / 1
LCM(14601,14621) = 213481221 / 1
LCM(14601,14621) = 213481221

Least Common Multiple (LCM) of 14601 and 14621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14601 and 14621. First we will calculate the prime factors of 14601 and 14621.

Prime Factorization of 14601

Prime Factorization of 14621

Now multiplying the highest exponent prime factors to calculate the LCM of 14601 and 14621.

LCM(14601,14621) = 3¹ × 31¹ × 157¹ × 14621¹
LCM(14601,14621) = 213481221