GCF and LCM Calculator Logo

What is the Least Common Multiple of 3029 and 3042?

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 3029 and 3042 is 708786.

LCM(3029,3042) = 708786

LCM Calculator and
and

Least Common Multiple of 3029 and 3042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3029 and 3042, than apply into the LCM equation.

GCF(3029,3042) = 13
LCM(3029,3042) = ( 3029 × 3042) / 13
LCM(3029,3042) = 9214218 / 13
LCM(3029,3042) = 708786

Least Common Multiple (LCM) of 3029 and 3042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3029 and 3042. First we will calculate the prime factors of 3029 and 3042.

Prime Factorization of 3029

Prime factors of 3029 are 13, 233. Prime factorization of 3029 in exponential form is:

3029 = 131 × 2331

Prime Factorization of 3042

Prime factors of 3042 are 2, 3, 13. Prime factorization of 3042 in exponential form is:

3042 = 21 × 32 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 3029 and 3042.

LCM(3029,3042) = 132 × 2331 × 21 × 32
LCM(3029,3042) = 708786