What is the Least Common Multiple of 34578 and 34585?

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 34578 and 34585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34578 and 34585, than apply into the LCM equation.

GCF(34578,34585) = 1
LCM(34578,34585) = ( 34578 × 34585) / 1
LCM(34578,34585) = 1195880130 / 1
LCM(34578,34585) = 1195880130

Least Common Multiple (LCM) of 34578 and 34585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34578 and 34585. First we will calculate the prime factors of 34578 and 34585.

Prime Factorization of 34578

Prime Factorization of 34585

Now multiplying the highest exponent prime factors to calculate the LCM of 34578 and 34585.

LCM(34578,34585) = 2¹ × 3² × 17¹ × 113¹ × 5¹ × 6917¹
LCM(34578,34585) = 1195880130