What is the Least Common Multiple of 14609 and 14624?

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 14609 and 14624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14609 and 14624, than apply into the LCM equation.

GCF(14609,14624) = 1
LCM(14609,14624) = ( 14609 × 14624) / 1
LCM(14609,14624) = 213642016 / 1
LCM(14609,14624) = 213642016

Least Common Multiple (LCM) of 14609 and 14624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14609 and 14624. First we will calculate the prime factors of 14609 and 14624.

Prime Factorization of 14609

Prime Factorization of 14624

Now multiplying the highest exponent prime factors to calculate the LCM of 14609 and 14624.

LCM(14609,14624) = 7¹ × 2087¹ × 2⁵ × 457¹
LCM(14609,14624) = 213642016