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What is the Least Common Multiple of 95306 and 95320?

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 95306 and 95320 is 4542283960.

LCM(95306,95320) = 4542283960

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Least Common Multiple of 95306 and 95320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95306 and 95320, than apply into the LCM equation.

GCF(95306,95320) = 2
LCM(95306,95320) = ( 95306 × 95320) / 2
LCM(95306,95320) = 9084567920 / 2
LCM(95306,95320) = 4542283960

Least Common Multiple (LCM) of 95306 and 95320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95306 and 95320. First we will calculate the prime factors of 95306 and 95320.

Prime Factorization of 95306

Prime factors of 95306 are 2, 47653. Prime factorization of 95306 in exponential form is:

95306 = 21 × 476531

Prime Factorization of 95320

Prime factors of 95320 are 2, 5, 2383. Prime factorization of 95320 in exponential form is:

95320 = 23 × 51 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 95306 and 95320.

LCM(95306,95320) = 23 × 476531 × 51 × 23831
LCM(95306,95320) = 4542283960