What is the Least Common Multiple of 35259 and 35274?

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 35259 and 35274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35259 and 35274, than apply into the LCM equation.

GCF(35259,35274) = 3
LCM(35259,35274) = ( 35259 × 35274) / 3
LCM(35259,35274) = 1243725966 / 3
LCM(35259,35274) = 414575322

Least Common Multiple (LCM) of 35259 and 35274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35259 and 35274. First we will calculate the prime factors of 35259 and 35274.

Prime Factorization of 35259

Prime Factorization of 35274

Now multiplying the highest exponent prime factors to calculate the LCM of 35259 and 35274.

LCM(35259,35274) = 3¹ × 7¹ × 23¹ × 73¹ × 2¹ × 5879¹
LCM(35259,35274) = 414575322