What is the Least Common Multiple of 35251 and 35261?

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 35251 and 35261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35251 and 35261, than apply into the LCM equation.

GCF(35251,35261) = 1
LCM(35251,35261) = ( 35251 × 35261) / 1
LCM(35251,35261) = 1242985511 / 1
LCM(35251,35261) = 1242985511

Least Common Multiple (LCM) of 35251 and 35261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35251 and 35261. First we will calculate the prime factors of 35251 and 35261.

Prime Factorization of 35251

Prime Factorization of 35261

Now multiplying the highest exponent prime factors to calculate the LCM of 35251 and 35261.

LCM(35251,35261) = 35251¹ × 37¹ × 953¹
LCM(35251,35261) = 1242985511