GCF and LCM Calculator Logo

What is the Least Common Multiple of 5927 and 5946?

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 (LCM) of 5927 and 5946 is 35241942.

LCM(5927,5946) = 35241942

LCM Calculator and
and

Least Common Multiple of 5927 and 5946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5927 and 5946, than apply into the LCM equation.

GCF(5927,5946) = 1
LCM(5927,5946) = ( 5927 × 5946) / 1
LCM(5927,5946) = 35241942 / 1
LCM(5927,5946) = 35241942

Least Common Multiple (LCM) of 5927 and 5946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5927 and 5946. First we will calculate the prime factors of 5927 and 5946.

Prime Factorization of 5927

Prime factors of 5927 are 5927. Prime factorization of 5927 in exponential form is:

5927 = 59271

Prime Factorization of 5946

Prime factors of 5946 are 2, 3, 991. Prime factorization of 5946 in exponential form is:

5946 = 21 × 31 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 5927 and 5946.

LCM(5927,5946) = 59271 × 21 × 31 × 9911
LCM(5927,5946) = 35241942