GCF and LCM Calculator Logo

What is the Least Common Multiple of 95361 and 95373?

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 95361 and 95373 is 3031621551.

LCM(95361,95373) = 3031621551

LCM Calculator and
and

Least Common Multiple of 95361 and 95373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95361 and 95373, than apply into the LCM equation.

GCF(95361,95373) = 3
LCM(95361,95373) = ( 95361 × 95373) / 3
LCM(95361,95373) = 9094864653 / 3
LCM(95361,95373) = 3031621551

Least Common Multiple (LCM) of 95361 and 95373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95361 and 95373. First we will calculate the prime factors of 95361 and 95373.

Prime Factorization of 95361

Prime factors of 95361 are 3, 7, 19, 239. Prime factorization of 95361 in exponential form is:

95361 = 31 × 71 × 191 × 2391

Prime Factorization of 95373

Prime factors of 95373 are 3, 10597. Prime factorization of 95373 in exponential form is:

95373 = 32 × 105971

Now multiplying the highest exponent prime factors to calculate the LCM of 95361 and 95373.

LCM(95361,95373) = 32 × 71 × 191 × 2391 × 105971
LCM(95361,95373) = 3031621551