GCF and LCM Calculator Logo

What is the Least Common Multiple of 28034 and 28042?

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 28034 and 28042 is 393064714.

LCM(28034,28042) = 393064714

LCM Calculator and
and

Least Common Multiple of 28034 and 28042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28034 and 28042, than apply into the LCM equation.

GCF(28034,28042) = 2
LCM(28034,28042) = ( 28034 × 28042) / 2
LCM(28034,28042) = 786129428 / 2
LCM(28034,28042) = 393064714

Least Common Multiple (LCM) of 28034 and 28042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28034 and 28042. First we will calculate the prime factors of 28034 and 28042.

Prime Factorization of 28034

Prime factors of 28034 are 2, 107, 131. Prime factorization of 28034 in exponential form is:

28034 = 21 × 1071 × 1311

Prime Factorization of 28042

Prime factors of 28042 are 2, 7, 2003. Prime factorization of 28042 in exponential form is:

28042 = 21 × 71 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 28034 and 28042.

LCM(28034,28042) = 21 × 1071 × 1311 × 71 × 20031
LCM(28034,28042) = 393064714