GCF and LCM Calculator Logo

What is the Least Common Multiple of 95363 and 95381?

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 95363 and 95381 is 9095818303.

LCM(95363,95381) = 9095818303

LCM Calculator and
and

Least Common Multiple of 95363 and 95381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95363 and 95381, than apply into the LCM equation.

GCF(95363,95381) = 1
LCM(95363,95381) = ( 95363 × 95381) / 1
LCM(95363,95381) = 9095818303 / 1
LCM(95363,95381) = 9095818303

Least Common Multiple (LCM) of 95363 and 95381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95363 and 95381. First we will calculate the prime factors of 95363 and 95381.

Prime Factorization of 95363

Prime factors of 95363 are 47, 2029. Prime factorization of 95363 in exponential form is:

95363 = 471 × 20291

Prime Factorization of 95381

Prime factors of 95381 are 11, 13, 23, 29. Prime factorization of 95381 in exponential form is:

95381 = 111 × 131 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 95363 and 95381.

LCM(95363,95381) = 471 × 20291 × 111 × 131 × 231 × 291
LCM(95363,95381) = 9095818303