GCF and LCM Calculator Logo

What is the Least Common Multiple of 3021 and 3026?

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 3021 and 3026 is 9141546.

LCM(3021,3026) = 9141546

LCM Calculator and
and

Least Common Multiple of 3021 and 3026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3021 and 3026, than apply into the LCM equation.

GCF(3021,3026) = 1
LCM(3021,3026) = ( 3021 × 3026) / 1
LCM(3021,3026) = 9141546 / 1
LCM(3021,3026) = 9141546

Least Common Multiple (LCM) of 3021 and 3026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3021 and 3026. First we will calculate the prime factors of 3021 and 3026.

Prime Factorization of 3021

Prime factors of 3021 are 3, 19, 53. Prime factorization of 3021 in exponential form is:

3021 = 31 × 191 × 531

Prime Factorization of 3026

Prime factors of 3026 are 2, 17, 89. Prime factorization of 3026 in exponential form is:

3026 = 21 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3021 and 3026.

LCM(3021,3026) = 31 × 191 × 531 × 21 × 171 × 891
LCM(3021,3026) = 9141546