GCF and LCM Calculator Logo

What is the Least Common Multiple of 8034 and 8046?

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 8034 and 8046 is 10773594.

LCM(8034,8046) = 10773594

LCM Calculator and
and

Least Common Multiple of 8034 and 8046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8034 and 8046, than apply into the LCM equation.

GCF(8034,8046) = 6
LCM(8034,8046) = ( 8034 × 8046) / 6
LCM(8034,8046) = 64641564 / 6
LCM(8034,8046) = 10773594

Least Common Multiple (LCM) of 8034 and 8046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8034 and 8046. First we will calculate the prime factors of 8034 and 8046.

Prime Factorization of 8034

Prime factors of 8034 are 2, 3, 13, 103. Prime factorization of 8034 in exponential form is:

8034 = 21 × 31 × 131 × 1031

Prime Factorization of 8046

Prime factors of 8046 are 2, 3, 149. Prime factorization of 8046 in exponential form is:

8046 = 21 × 33 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8034 and 8046.

LCM(8034,8046) = 21 × 33 × 131 × 1031 × 1491
LCM(8034,8046) = 10773594