GCF and LCM Calculator Logo

What is the Least Common Multiple of 29934 and 29941?

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 29934 and 29941 is 896253894.

LCM(29934,29941) = 896253894

LCM Calculator and
and

Least Common Multiple of 29934 and 29941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29934 and 29941, than apply into the LCM equation.

GCF(29934,29941) = 1
LCM(29934,29941) = ( 29934 × 29941) / 1
LCM(29934,29941) = 896253894 / 1
LCM(29934,29941) = 896253894

Least Common Multiple (LCM) of 29934 and 29941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29934 and 29941. First we will calculate the prime factors of 29934 and 29941.

Prime Factorization of 29934

Prime factors of 29934 are 2, 3, 1663. Prime factorization of 29934 in exponential form is:

29934 = 21 × 32 × 16631

Prime Factorization of 29941

Prime factors of 29941 are 79, 379. Prime factorization of 29941 in exponential form is:

29941 = 791 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 29934 and 29941.

LCM(29934,29941) = 21 × 32 × 16631 × 791 × 3791
LCM(29934,29941) = 896253894