What is the Least Common Multiple of 4585 and 4597?

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 4585 and 4597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4585 and 4597, than apply into the LCM equation.

GCF(4585,4597) = 1
LCM(4585,4597) = ( 4585 × 4597) / 1
LCM(4585,4597) = 21077245 / 1
LCM(4585,4597) = 21077245

Least Common Multiple (LCM) of 4585 and 4597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4585 and 4597. First we will calculate the prime factors of 4585 and 4597.

Prime Factorization of 4585

Prime Factorization of 4597

Now multiplying the highest exponent prime factors to calculate the LCM of 4585 and 4597.

LCM(4585,4597) = 5¹ × 7¹ × 131¹ × 4597¹
LCM(4585,4597) = 21077245