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What is the Least Common Multiple of 27491 and 27503?

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 27491 and 27503 is 756084973.

LCM(27491,27503) = 756084973

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Least Common Multiple of 27491 and 27503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27491 and 27503, than apply into the LCM equation.

GCF(27491,27503) = 1
LCM(27491,27503) = ( 27491 × 27503) / 1
LCM(27491,27503) = 756084973 / 1
LCM(27491,27503) = 756084973

Least Common Multiple (LCM) of 27491 and 27503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27491 and 27503. First we will calculate the prime factors of 27491 and 27503.

Prime Factorization of 27491

Prime factors of 27491 are 37, 743. Prime factorization of 27491 in exponential form is:

27491 = 371 × 7431

Prime Factorization of 27503

Prime factors of 27503 are 7, 3929. Prime factorization of 27503 in exponential form is:

27503 = 71 × 39291

Now multiplying the highest exponent prime factors to calculate the LCM of 27491 and 27503.

LCM(27491,27503) = 371 × 7431 × 71 × 39291
LCM(27491,27503) = 756084973