What is the Least Common Multiple of 34275 and 34291?

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 34275 and 34291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34275 and 34291, than apply into the LCM equation.

GCF(34275,34291) = 1
LCM(34275,34291) = ( 34275 × 34291) / 1
LCM(34275,34291) = 1175324025 / 1
LCM(34275,34291) = 1175324025

Least Common Multiple (LCM) of 34275 and 34291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34275 and 34291. First we will calculate the prime factors of 34275 and 34291.

Prime Factorization of 34275

Prime Factorization of 34291

Now multiplying the highest exponent prime factors to calculate the LCM of 34275 and 34291.

LCM(34275,34291) = 3¹ × 5² × 457¹ × 53¹ × 647¹
LCM(34275,34291) = 1175324025