GCF and LCM Calculator Logo

What is the Least Common Multiple of 29844 and 29862?

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 29844 and 29862 is 49511196.

LCM(29844,29862) = 49511196

LCM Calculator and
and

Least Common Multiple of 29844 and 29862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29844 and 29862, than apply into the LCM equation.

GCF(29844,29862) = 18
LCM(29844,29862) = ( 29844 × 29862) / 18
LCM(29844,29862) = 891201528 / 18
LCM(29844,29862) = 49511196

Least Common Multiple (LCM) of 29844 and 29862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29844 and 29862. First we will calculate the prime factors of 29844 and 29862.

Prime Factorization of 29844

Prime factors of 29844 are 2, 3, 829. Prime factorization of 29844 in exponential form is:

29844 = 22 × 32 × 8291

Prime Factorization of 29862

Prime factors of 29862 are 2, 3, 7, 79. Prime factorization of 29862 in exponential form is:

29862 = 21 × 33 × 71 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 29844 and 29862.

LCM(29844,29862) = 22 × 33 × 8291 × 71 × 791
LCM(29844,29862) = 49511196