GCF and LCM Calculator Logo

What is the Least Common Multiple of 2035 and 2042?

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 2035 and 2042 is 4155470.

LCM(2035,2042) = 4155470

LCM Calculator and
and

Least Common Multiple of 2035 and 2042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2035 and 2042, than apply into the LCM equation.

GCF(2035,2042) = 1
LCM(2035,2042) = ( 2035 × 2042) / 1
LCM(2035,2042) = 4155470 / 1
LCM(2035,2042) = 4155470

Least Common Multiple (LCM) of 2035 and 2042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2035 and 2042. First we will calculate the prime factors of 2035 and 2042.

Prime Factorization of 2035

Prime factors of 2035 are 5, 11, 37. Prime factorization of 2035 in exponential form is:

2035 = 51 × 111 × 371

Prime Factorization of 2042

Prime factors of 2042 are 2, 1021. Prime factorization of 2042 in exponential form is:

2042 = 21 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 2035 and 2042.

LCM(2035,2042) = 51 × 111 × 371 × 21 × 10211
LCM(2035,2042) = 4155470