What is the Least Common Multiple of 35714 and 35725?

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 35714 and 35725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35714 and 35725, than apply into the LCM equation.

GCF(35714,35725) = 1
LCM(35714,35725) = ( 35714 × 35725) / 1
LCM(35714,35725) = 1275882650 / 1
LCM(35714,35725) = 1275882650

Least Common Multiple (LCM) of 35714 and 35725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35714 and 35725. First we will calculate the prime factors of 35714 and 35725.

Prime Factorization of 35714

Prime Factorization of 35725

Now multiplying the highest exponent prime factors to calculate the LCM of 35714 and 35725.

LCM(35714,35725) = 2¹ × 7¹ × 2551¹ × 5² × 1429¹
LCM(35714,35725) = 1275882650