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What is the Least Common Multiple of 27347 and 27362?

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 27347 and 27362 is 748268614.

LCM(27347,27362) = 748268614

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Least Common Multiple of 27347 and 27362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27347 and 27362, than apply into the LCM equation.

GCF(27347,27362) = 1
LCM(27347,27362) = ( 27347 × 27362) / 1
LCM(27347,27362) = 748268614 / 1
LCM(27347,27362) = 748268614

Least Common Multiple (LCM) of 27347 and 27362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27347 and 27362. First we will calculate the prime factors of 27347 and 27362.

Prime Factorization of 27347

Prime factors of 27347 are 23, 29, 41. Prime factorization of 27347 in exponential form is:

27347 = 231 × 291 × 411

Prime Factorization of 27362

Prime factors of 27362 are 2, 13681. Prime factorization of 27362 in exponential form is:

27362 = 21 × 136811

Now multiplying the highest exponent prime factors to calculate the LCM of 27347 and 27362.

LCM(27347,27362) = 231 × 291 × 411 × 21 × 136811
LCM(27347,27362) = 748268614