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What is the Least Common Multiple of 95320 and 95325?

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 95320 and 95325 is 1817275800.

LCM(95320,95325) = 1817275800

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Least Common Multiple of 95320 and 95325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95320 and 95325, than apply into the LCM equation.

GCF(95320,95325) = 5
LCM(95320,95325) = ( 95320 × 95325) / 5
LCM(95320,95325) = 9086379000 / 5
LCM(95320,95325) = 1817275800

Least Common Multiple (LCM) of 95320 and 95325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95320 and 95325. First we will calculate the prime factors of 95320 and 95325.

Prime Factorization of 95320

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

95320 = 23 × 51 × 23831

Prime Factorization of 95325

Prime factors of 95325 are 3, 5, 31, 41. Prime factorization of 95325 in exponential form is:

95325 = 31 × 52 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 95320 and 95325.

LCM(95320,95325) = 23 × 52 × 23831 × 31 × 311 × 411
LCM(95320,95325) = 1817275800