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What is the Least Common Multiple of 95154 and 95173?

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 95154 and 95173 is 9056091642.

LCM(95154,95173) = 9056091642

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Least Common Multiple of 95154 and 95173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95154 and 95173, than apply into the LCM equation.

GCF(95154,95173) = 1
LCM(95154,95173) = ( 95154 × 95173) / 1
LCM(95154,95173) = 9056091642 / 1
LCM(95154,95173) = 9056091642

Least Common Multiple (LCM) of 95154 and 95173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95154 and 95173. First we will calculate the prime factors of 95154 and 95173.

Prime Factorization of 95154

Prime factors of 95154 are 2, 3, 15859. Prime factorization of 95154 in exponential form is:

95154 = 21 × 31 × 158591

Prime Factorization of 95173

Prime factors of 95173 are 13, 7321. Prime factorization of 95173 in exponential form is:

95173 = 131 × 73211

Now multiplying the highest exponent prime factors to calculate the LCM of 95154 and 95173.

LCM(95154,95173) = 21 × 31 × 158591 × 131 × 73211
LCM(95154,95173) = 9056091642