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What is the Least Common Multiple of 91353 and 91362?

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 91353 and 91362 is 2782064262.

LCM(91353,91362) = 2782064262

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Least Common Multiple of 91353 and 91362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91353 and 91362, than apply into the LCM equation.

GCF(91353,91362) = 3
LCM(91353,91362) = ( 91353 × 91362) / 3
LCM(91353,91362) = 8346192786 / 3
LCM(91353,91362) = 2782064262

Least Common Multiple (LCM) of 91353 and 91362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91353 and 91362. First we will calculate the prime factors of 91353 and 91362.

Prime Factorization of 91353

Prime factors of 91353 are 3, 37, 823. Prime factorization of 91353 in exponential form is:

91353 = 31 × 371 × 8231

Prime Factorization of 91362

Prime factors of 91362 are 2, 3, 15227. Prime factorization of 91362 in exponential form is:

91362 = 21 × 31 × 152271

Now multiplying the highest exponent prime factors to calculate the LCM of 91353 and 91362.

LCM(91353,91362) = 31 × 371 × 8231 × 21 × 152271
LCM(91353,91362) = 2782064262