What is the Least Common Multiple of 4565 and 4578?

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 4565 and 4578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4565 and 4578, than apply into the LCM equation.

GCF(4565,4578) = 1
LCM(4565,4578) = ( 4565 × 4578) / 1
LCM(4565,4578) = 20898570 / 1
LCM(4565,4578) = 20898570

Least Common Multiple (LCM) of 4565 and 4578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4565 and 4578. First we will calculate the prime factors of 4565 and 4578.

Prime Factorization of 4565

Prime Factorization of 4578

Now multiplying the highest exponent prime factors to calculate the LCM of 4565 and 4578.

LCM(4565,4578) = 5¹ × 11¹ × 83¹ × 2¹ × 3¹ × 7¹ × 109¹
LCM(4565,4578) = 20898570