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What is the Least Common Multiple of 95162 and 95175?

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 95162 and 95175 is 9057043350.

LCM(95162,95175) = 9057043350

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Least Common Multiple of 95162 and 95175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95162 and 95175, than apply into the LCM equation.

GCF(95162,95175) = 1
LCM(95162,95175) = ( 95162 × 95175) / 1
LCM(95162,95175) = 9057043350 / 1
LCM(95162,95175) = 9057043350

Least Common Multiple (LCM) of 95162 and 95175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95162 and 95175. First we will calculate the prime factors of 95162 and 95175.

Prime Factorization of 95162

Prime factors of 95162 are 2, 47581. Prime factorization of 95162 in exponential form is:

95162 = 21 × 475811

Prime Factorization of 95175

Prime factors of 95175 are 3, 5, 47. Prime factorization of 95175 in exponential form is:

95175 = 34 × 52 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 95162 and 95175.

LCM(95162,95175) = 21 × 475811 × 34 × 52 × 471
LCM(95162,95175) = 9057043350