What is the Least Common Multiple of 34574 and 34581?

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 34574 and 34581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34574 and 34581, than apply into the LCM equation.

GCF(34574,34581) = 1
LCM(34574,34581) = ( 34574 × 34581) / 1
LCM(34574,34581) = 1195603494 / 1
LCM(34574,34581) = 1195603494

Least Common Multiple (LCM) of 34574 and 34581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34574 and 34581. First we will calculate the prime factors of 34574 and 34581.

Prime Factorization of 34574

Prime Factorization of 34581

Now multiplying the highest exponent prime factors to calculate the LCM of 34574 and 34581.

LCM(34574,34581) = 2¹ × 59¹ × 293¹ × 3¹ × 11527¹
LCM(34574,34581) = 1195603494