What is the Least Common Multiple of 14600 and 14609?

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 14600 and 14609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14600 and 14609, than apply into the LCM equation.

GCF(14600,14609) = 1
LCM(14600,14609) = ( 14600 × 14609) / 1
LCM(14600,14609) = 213291400 / 1
LCM(14600,14609) = 213291400

Least Common Multiple (LCM) of 14600 and 14609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14600 and 14609. First we will calculate the prime factors of 14600 and 14609.

Prime Factorization of 14600

Prime Factorization of 14609

Now multiplying the highest exponent prime factors to calculate the LCM of 14600 and 14609.

LCM(14600,14609) = 2³ × 5² × 73¹ × 7¹ × 2087¹
LCM(14600,14609) = 213291400