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What is the Least Common Multiple of 95351 and 95361?

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 95351 and 95361 is 9092766711.

LCM(95351,95361) = 9092766711

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Least Common Multiple of 95351 and 95361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95351 and 95361, than apply into the LCM equation.

GCF(95351,95361) = 1
LCM(95351,95361) = ( 95351 × 95361) / 1
LCM(95351,95361) = 9092766711 / 1
LCM(95351,95361) = 9092766711

Least Common Multiple (LCM) of 95351 and 95361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95351 and 95361. First we will calculate the prime factors of 95351 and 95361.

Prime Factorization of 95351

Prime factors of 95351 are 97, 983. Prime factorization of 95351 in exponential form is:

95351 = 971 × 9831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 95351 and 95361.

LCM(95351,95361) = 971 × 9831 × 31 × 71 × 191 × 2391
LCM(95351,95361) = 9092766711