What is the Least Common Multiple of 4565 and 4575?

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 4575 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 4575, than apply into the LCM equation.

GCF(4565,4575) = 5
LCM(4565,4575) = ( 4565 × 4575) / 5
LCM(4565,4575) = 20884875 / 5
LCM(4565,4575) = 4176975

Least Common Multiple (LCM) of 4565 and 4575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4565 and 4575. First we will calculate the prime factors of 4565 and 4575.

Prime Factorization of 4565

Prime Factorization of 4575

Now multiplying the highest exponent prime factors to calculate the LCM of 4565 and 4575.

LCM(4565,4575) = 5² × 11¹ × 83¹ × 3¹ × 61¹
LCM(4565,4575) = 4176975