GCF and LCM Calculator Logo

What is the Least Common Multiple of 29927 and 29935?

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 29927 and 29935 is 895864745.

LCM(29927,29935) = 895864745

LCM Calculator and
and

Least Common Multiple of 29927 and 29935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29927 and 29935, than apply into the LCM equation.

GCF(29927,29935) = 1
LCM(29927,29935) = ( 29927 × 29935) / 1
LCM(29927,29935) = 895864745 / 1
LCM(29927,29935) = 895864745

Least Common Multiple (LCM) of 29927 and 29935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29927 and 29935. First we will calculate the prime factors of 29927 and 29935.

Prime Factorization of 29927

Prime factors of 29927 are 29927. Prime factorization of 29927 in exponential form is:

29927 = 299271

Prime Factorization of 29935

Prime factors of 29935 are 5, 5987. Prime factorization of 29935 in exponential form is:

29935 = 51 × 59871

Now multiplying the highest exponent prime factors to calculate the LCM of 29927 and 29935.

LCM(29927,29935) = 299271 × 51 × 59871
LCM(29927,29935) = 895864745