GCF and LCM Calculator Logo

What is the Least Common Multiple of 95343 and 95363?

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 95343 and 95363 is 9092194509.

LCM(95343,95363) = 9092194509

LCM Calculator and
and

Least Common Multiple of 95343 and 95363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95343 and 95363, than apply into the LCM equation.

GCF(95343,95363) = 1
LCM(95343,95363) = ( 95343 × 95363) / 1
LCM(95343,95363) = 9092194509 / 1
LCM(95343,95363) = 9092194509

Least Common Multiple (LCM) of 95343 and 95363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95343 and 95363. First we will calculate the prime factors of 95343 and 95363.

Prime Factorization of 95343

Prime factors of 95343 are 3, 61, 521. Prime factorization of 95343 in exponential form is:

95343 = 31 × 611 × 5211

Prime Factorization of 95363

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

95363 = 471 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 95343 and 95363.

LCM(95343,95363) = 31 × 611 × 5211 × 471 × 20291
LCM(95343,95363) = 9092194509