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What is the Least Common Multiple of 93191 and 93206?

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 93191 and 93206 is 8685960346.

LCM(93191,93206) = 8685960346

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Least Common Multiple of 93191 and 93206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93191 and 93206, than apply into the LCM equation.

GCF(93191,93206) = 1
LCM(93191,93206) = ( 93191 × 93206) / 1
LCM(93191,93206) = 8685960346 / 1
LCM(93191,93206) = 8685960346

Least Common Multiple (LCM) of 93191 and 93206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93191 and 93206. First we will calculate the prime factors of 93191 and 93206.

Prime Factorization of 93191

Prime factors of 93191 are 7, 13313. Prime factorization of 93191 in exponential form is:

93191 = 71 × 133131

Prime Factorization of 93206

Prime factors of 93206 are 2, 29, 1607. Prime factorization of 93206 in exponential form is:

93206 = 21 × 291 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 93191 and 93206.

LCM(93191,93206) = 71 × 133131 × 21 × 291 × 16071
LCM(93191,93206) = 8685960346