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What is the Least Common Multiple of 93162 and 93173?

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 93162 and 93173 is 8680183026.

LCM(93162,93173) = 8680183026

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Least Common Multiple of 93162 and 93173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93162 and 93173, than apply into the LCM equation.

GCF(93162,93173) = 1
LCM(93162,93173) = ( 93162 × 93173) / 1
LCM(93162,93173) = 8680183026 / 1
LCM(93162,93173) = 8680183026

Least Common Multiple (LCM) of 93162 and 93173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93162 and 93173. First we will calculate the prime factors of 93162 and 93173.

Prime Factorization of 93162

Prime factors of 93162 are 2, 3, 15527. Prime factorization of 93162 in exponential form is:

93162 = 21 × 31 × 155271

Prime Factorization of 93173

Prime factors of 93173 are 23, 4051. Prime factorization of 93173 in exponential form is:

93173 = 231 × 40511

Now multiplying the highest exponent prime factors to calculate the LCM of 93162 and 93173.

LCM(93162,93173) = 21 × 31 × 155271 × 231 × 40511
LCM(93162,93173) = 8680183026