What is the Least Common Multiple of 34584 and 34590?

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 34584 and 34590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34584 and 34590, than apply into the LCM equation.

GCF(34584,34590) = 6
LCM(34584,34590) = ( 34584 × 34590) / 6
LCM(34584,34590) = 1196260560 / 6
LCM(34584,34590) = 199376760

Least Common Multiple (LCM) of 34584 and 34590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34584 and 34590. First we will calculate the prime factors of 34584 and 34590.

Prime Factorization of 34584

Prime Factorization of 34590

Now multiplying the highest exponent prime factors to calculate the LCM of 34584 and 34590.

LCM(34584,34590) = 2³ × 3¹ × 11¹ × 131¹ × 5¹ × 1153¹
LCM(34584,34590) = 199376760