GCF and LCM Calculator Logo

What is the Least Common Multiple of 95361 and 95378?

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 95378 is 9095341458.

LCM(95361,95378) = 9095341458

LCM Calculator and
and

Least Common Multiple of 95361 and 95378 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 95378, than apply into the LCM equation.

GCF(95361,95378) = 1
LCM(95361,95378) = ( 95361 × 95378) / 1
LCM(95361,95378) = 9095341458 / 1
LCM(95361,95378) = 9095341458

Least Common Multiple (LCM) of 95361 and 95378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95361 and 95378. First we will calculate the prime factors of 95361 and 95378.

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 95378

Prime factors of 95378 are 2, 103, 463. Prime factorization of 95378 in exponential form is:

95378 = 21 × 1031 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 95361 and 95378.

LCM(95361,95378) = 31 × 71 × 191 × 2391 × 21 × 1031 × 4631
LCM(95361,95378) = 9095341458