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What is the Least Common Multiple of 91347 and 91356?

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 91347 and 91356 is 2781698844.

LCM(91347,91356) = 2781698844

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Least Common Multiple of 91347 and 91356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91347 and 91356, than apply into the LCM equation.

GCF(91347,91356) = 3
LCM(91347,91356) = ( 91347 × 91356) / 3
LCM(91347,91356) = 8345096532 / 3
LCM(91347,91356) = 2781698844

Least Common Multiple (LCM) of 91347 and 91356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91347 and 91356. First we will calculate the prime factors of 91347 and 91356.

Prime Factorization of 91347

Prime factors of 91347 are 3, 30449. Prime factorization of 91347 in exponential form is:

91347 = 31 × 304491

Prime Factorization of 91356

Prime factors of 91356 are 2, 3, 23, 331. Prime factorization of 91356 in exponential form is:

91356 = 22 × 31 × 231 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 91347 and 91356.

LCM(91347,91356) = 31 × 304491 × 22 × 231 × 3311
LCM(91347,91356) = 2781698844