What is the Least Common Multiple of 35914 and 35934?

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 35914 and 35934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35914 and 35934, than apply into the LCM equation.

GCF(35914,35934) = 2
LCM(35914,35934) = ( 35914 × 35934) / 2
LCM(35914,35934) = 1290533676 / 2
LCM(35914,35934) = 645266838

Least Common Multiple (LCM) of 35914 and 35934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35914 and 35934. First we will calculate the prime factors of 35914 and 35934.

Prime Factorization of 35914

Prime Factorization of 35934

Now multiplying the highest exponent prime factors to calculate the LCM of 35914 and 35934.

LCM(35914,35934) = 2¹ × 17957¹ × 3¹ × 53¹ × 113¹
LCM(35914,35934) = 645266838