What is the Least Common Multiple of 35714 and 35731?

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 35731 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 35731, than apply into the LCM equation.

GCF(35714,35731) = 1
LCM(35714,35731) = ( 35714 × 35731) / 1
LCM(35714,35731) = 1276096934 / 1
LCM(35714,35731) = 1276096934

Least Common Multiple (LCM) of 35714 and 35731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35714 and 35731. First we will calculate the prime factors of 35714 and 35731.

Prime Factorization of 35714

Prime Factorization of 35731

Now multiplying the highest exponent prime factors to calculate the LCM of 35714 and 35731.

LCM(35714,35731) = 2¹ × 7¹ × 2551¹ × 35731¹
LCM(35714,35731) = 1276096934