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What is the Least Common Multiple of 95162 and 95170?

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 95170 is 4528283770.

LCM(95162,95170) = 4528283770

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Least Common Multiple of 95162 and 95170 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 95170, than apply into the LCM equation.

GCF(95162,95170) = 2
LCM(95162,95170) = ( 95162 × 95170) / 2
LCM(95162,95170) = 9056567540 / 2
LCM(95162,95170) = 4528283770

Least Common Multiple (LCM) of 95162 and 95170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95162 and 95170. First we will calculate the prime factors of 95162 and 95170.

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 95170

Prime factors of 95170 are 2, 5, 31, 307. Prime factorization of 95170 in exponential form is:

95170 = 21 × 51 × 311 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 95162 and 95170.

LCM(95162,95170) = 21 × 475811 × 51 × 311 × 3071
LCM(95162,95170) = 4528283770