What is the Least Common Multiple of 34562 and 34574?

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 34562 and 34574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34562 and 34574, than apply into the LCM equation.

GCF(34562,34574) = 2
LCM(34562,34574) = ( 34562 × 34574) / 2
LCM(34562,34574) = 1194946588 / 2
LCM(34562,34574) = 597473294

Least Common Multiple (LCM) of 34562 and 34574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34562 and 34574. First we will calculate the prime factors of 34562 and 34574.

Prime Factorization of 34562

Prime Factorization of 34574

Now multiplying the highest exponent prime factors to calculate the LCM of 34562 and 34574.

LCM(34562,34574) = 2¹ × 11¹ × 1571¹ × 59¹ × 293¹
LCM(34562,34574) = 597473294