GCF and LCM Calculator Logo

What is the Least Common Multiple of 2012 and 2029?

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 2012 and 2029 is 4082348.

LCM(2012,2029) = 4082348

LCM Calculator and
and

Least Common Multiple of 2012 and 2029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2012 and 2029, than apply into the LCM equation.

GCF(2012,2029) = 1
LCM(2012,2029) = ( 2012 × 2029) / 1
LCM(2012,2029) = 4082348 / 1
LCM(2012,2029) = 4082348

Least Common Multiple (LCM) of 2012 and 2029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2012 and 2029. First we will calculate the prime factors of 2012 and 2029.

Prime Factorization of 2012

Prime factors of 2012 are 2, 503. Prime factorization of 2012 in exponential form is:

2012 = 22 × 5031

Prime Factorization of 2029

Prime factors of 2029 are 2029. Prime factorization of 2029 in exponential form is:

2029 = 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 2012 and 2029.

LCM(2012,2029) = 22 × 5031 × 20291
LCM(2012,2029) = 4082348