GCF and LCM Calculator Logo

What is the Least Common Multiple of 5946 and 5951?

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 5946 and 5951 is 35384646.

LCM(5946,5951) = 35384646

LCM Calculator and
and

Least Common Multiple of 5946 and 5951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5946 and 5951, than apply into the LCM equation.

GCF(5946,5951) = 1
LCM(5946,5951) = ( 5946 × 5951) / 1
LCM(5946,5951) = 35384646 / 1
LCM(5946,5951) = 35384646

Least Common Multiple (LCM) of 5946 and 5951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5946 and 5951. First we will calculate the prime factors of 5946 and 5951.

Prime Factorization of 5946

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

5946 = 21 × 31 × 9911

Prime Factorization of 5951

Prime factors of 5951 are 11, 541. Prime factorization of 5951 in exponential form is:

5951 = 111 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 5946 and 5951.

LCM(5946,5951) = 21 × 31 × 9911 × 111 × 5411
LCM(5946,5951) = 35384646