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What is the Least Common Multiple of 93110 and 93117?

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 93110 and 93117 is 8670123870.

LCM(93110,93117) = 8670123870

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Least Common Multiple of 93110 and 93117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93110 and 93117, than apply into the LCM equation.

GCF(93110,93117) = 1
LCM(93110,93117) = ( 93110 × 93117) / 1
LCM(93110,93117) = 8670123870 / 1
LCM(93110,93117) = 8670123870

Least Common Multiple (LCM) of 93110 and 93117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93110 and 93117. First we will calculate the prime factors of 93110 and 93117.

Prime Factorization of 93110

Prime factors of 93110 are 2, 5, 9311. Prime factorization of 93110 in exponential form is:

93110 = 21 × 51 × 93111

Prime Factorization of 93117

Prime factors of 93117 are 3, 31039. Prime factorization of 93117 in exponential form is:

93117 = 31 × 310391

Now multiplying the highest exponent prime factors to calculate the LCM of 93110 and 93117.

LCM(93110,93117) = 21 × 51 × 93111 × 31 × 310391
LCM(93110,93117) = 8670123870