GCF and LCM Calculator Logo

What is the Least Common Multiple of 29941 and 29948?

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 29941 and 29948 is 896673068.

LCM(29941,29948) = 896673068

LCM Calculator and
and

Least Common Multiple of 29941 and 29948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29941 and 29948, than apply into the LCM equation.

GCF(29941,29948) = 1
LCM(29941,29948) = ( 29941 × 29948) / 1
LCM(29941,29948) = 896673068 / 1
LCM(29941,29948) = 896673068

Least Common Multiple (LCM) of 29941 and 29948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29941 and 29948. First we will calculate the prime factors of 29941 and 29948.

Prime Factorization of 29941

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

29941 = 791 × 3791

Prime Factorization of 29948

Prime factors of 29948 are 2, 7487. Prime factorization of 29948 in exponential form is:

29948 = 22 × 74871

Now multiplying the highest exponent prime factors to calculate the LCM of 29941 and 29948.

LCM(29941,29948) = 791 × 3791 × 22 × 74871
LCM(29941,29948) = 896673068