GCF and LCM Calculator Logo

What is the Least Common Multiple of 29896 and 29903?

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 29896 and 29903 is 893980088.

LCM(29896,29903) = 893980088

LCM Calculator and
and

Least Common Multiple of 29896 and 29903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29896 and 29903, than apply into the LCM equation.

GCF(29896,29903) = 1
LCM(29896,29903) = ( 29896 × 29903) / 1
LCM(29896,29903) = 893980088 / 1
LCM(29896,29903) = 893980088

Least Common Multiple (LCM) of 29896 and 29903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29896 and 29903. First we will calculate the prime factors of 29896 and 29903.

Prime Factorization of 29896

Prime factors of 29896 are 2, 37, 101. Prime factorization of 29896 in exponential form is:

29896 = 23 × 371 × 1011

Prime Factorization of 29903

Prime factors of 29903 are 17, 1759. Prime factorization of 29903 in exponential form is:

29903 = 171 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 29896 and 29903.

LCM(29896,29903) = 23 × 371 × 1011 × 171 × 17591
LCM(29896,29903) = 893980088