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What is the Least Common Multiple of 95392 and 95401?

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 95392 and 95401 is 9100492192.

LCM(95392,95401) = 9100492192

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Least Common Multiple of 95392 and 95401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95392 and 95401, than apply into the LCM equation.

GCF(95392,95401) = 1
LCM(95392,95401) = ( 95392 × 95401) / 1
LCM(95392,95401) = 9100492192 / 1
LCM(95392,95401) = 9100492192

Least Common Multiple (LCM) of 95392 and 95401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95392 and 95401. First we will calculate the prime factors of 95392 and 95401.

Prime Factorization of 95392

Prime factors of 95392 are 2, 11, 271. Prime factorization of 95392 in exponential form is:

95392 = 25 × 111 × 2711

Prime Factorization of 95401

Prime factors of 95401 are 95401. Prime factorization of 95401 in exponential form is:

95401 = 954011

Now multiplying the highest exponent prime factors to calculate the LCM of 95392 and 95401.

LCM(95392,95401) = 25 × 111 × 2711 × 954011
LCM(95392,95401) = 9100492192