What is the Least Common Multiple of 35275 and 35279?

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 35275 and 35279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35275 and 35279, than apply into the LCM equation.

GCF(35275,35279) = 1
LCM(35275,35279) = ( 35275 × 35279) / 1
LCM(35275,35279) = 1244466725 / 1
LCM(35275,35279) = 1244466725

Least Common Multiple (LCM) of 35275 and 35279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35275 and 35279. First we will calculate the prime factors of 35275 and 35279.

Prime Factorization of 35275

Prime Factorization of 35279

Now multiplying the highest exponent prime factors to calculate the LCM of 35275 and 35279.

LCM(35275,35279) = 5² × 17¹ × 83¹ × 35279¹
LCM(35275,35279) = 1244466725