GCF and LCM Calculator Logo

What is the Least Common Multiple of 95927 and 95935?

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 95927 and 95935 is 9202756745.

LCM(95927,95935) = 9202756745

LCM Calculator and
and

Least Common Multiple of 95927 and 95935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95927 and 95935, than apply into the LCM equation.

GCF(95927,95935) = 1
LCM(95927,95935) = ( 95927 × 95935) / 1
LCM(95927,95935) = 9202756745 / 1
LCM(95927,95935) = 9202756745

Least Common Multiple (LCM) of 95927 and 95935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95927 and 95935. First we will calculate the prime factors of 95927 and 95935.

Prime Factorization of 95927

Prime factors of 95927 are 13, 47, 157. Prime factorization of 95927 in exponential form is:

95927 = 131 × 471 × 1571

Prime Factorization of 95935

Prime factors of 95935 are 5, 7, 2741. Prime factorization of 95935 in exponential form is:

95935 = 51 × 71 × 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 95927 and 95935.

LCM(95927,95935) = 131 × 471 × 1571 × 51 × 71 × 27411
LCM(95927,95935) = 9202756745