GCF and LCM Calculator Logo

What is the Least Common Multiple of 29934 and 29939?

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 29939 is 896194026.

LCM(29934,29939) = 896194026

LCM Calculator and
and

Least Common Multiple of 29934 and 29939 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 29939, than apply into the LCM equation.

GCF(29934,29939) = 1
LCM(29934,29939) = ( 29934 × 29939) / 1
LCM(29934,29939) = 896194026 / 1
LCM(29934,29939) = 896194026

Least Common Multiple (LCM) of 29934 and 29939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29934 and 29939. First we will calculate the prime factors of 29934 and 29939.

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 29939

Prime factors of 29939 are 7, 13, 47. Prime factorization of 29939 in exponential form is:

29939 = 72 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 29934 and 29939.

LCM(29934,29939) = 21 × 32 × 16631 × 72 × 131 × 471
LCM(29934,29939) = 896194026