GCF and LCM Calculator Logo

What is the Least Common Multiple of 49794 and 49804?

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 49794 and 49804 is 1239970188.

LCM(49794,49804) = 1239970188

LCM Calculator and
and

Least Common Multiple of 49794 and 49804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49794 and 49804, than apply into the LCM equation.

GCF(49794,49804) = 2
LCM(49794,49804) = ( 49794 × 49804) / 2
LCM(49794,49804) = 2479940376 / 2
LCM(49794,49804) = 1239970188

Least Common Multiple (LCM) of 49794 and 49804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49794 and 49804. First we will calculate the prime factors of 49794 and 49804.

Prime Factorization of 49794

Prime factors of 49794 are 2, 3, 43, 193. Prime factorization of 49794 in exponential form is:

49794 = 21 × 31 × 431 × 1931

Prime Factorization of 49804

Prime factors of 49804 are 2, 12451. Prime factorization of 49804 in exponential form is:

49804 = 22 × 124511

Now multiplying the highest exponent prime factors to calculate the LCM of 49794 and 49804.

LCM(49794,49804) = 22 × 31 × 431 × 1931 × 124511
LCM(49794,49804) = 1239970188