What is the Least Common Multiple of 14595 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 14595 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 14595 and 14609, than apply into the LCM equation.

GCF(14595,14609) = 7
LCM(14595,14609) = ( 14595 × 14609) / 7
LCM(14595,14609) = 213218355 / 7
LCM(14595,14609) = 30459765

Least Common Multiple (LCM) of 14595 and 14609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14595 and 14609. First we will calculate the prime factors of 14595 and 14609.

Prime Factorization of 14595

Prime Factorization of 14609

Now multiplying the highest exponent prime factors to calculate the LCM of 14595 and 14609.

LCM(14595,14609) = 3¹ × 5¹ × 7¹ × 139¹ × 2087¹
LCM(14595,14609) = 30459765