What is the Least Common Multiple of 14565 and 14578?

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 14565 and 14578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14565 and 14578, than apply into the LCM equation.

GCF(14565,14578) = 1
LCM(14565,14578) = ( 14565 × 14578) / 1
LCM(14565,14578) = 212328570 / 1
LCM(14565,14578) = 212328570

Least Common Multiple (LCM) of 14565 and 14578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14565 and 14578. First we will calculate the prime factors of 14565 and 14578.

Prime Factorization of 14565

Prime Factorization of 14578

Now multiplying the highest exponent prime factors to calculate the LCM of 14565 and 14578.

LCM(14565,14578) = 3¹ × 5¹ × 971¹ × 2¹ × 37¹ × 197¹
LCM(14565,14578) = 212328570