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What is the Least Common Multiple of 27493 and 27501?

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 27493 and 27501 is 756084993.

LCM(27493,27501) = 756084993

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Least Common Multiple of 27493 and 27501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27493 and 27501, than apply into the LCM equation.

GCF(27493,27501) = 1
LCM(27493,27501) = ( 27493 × 27501) / 1
LCM(27493,27501) = 756084993 / 1
LCM(27493,27501) = 756084993

Least Common Multiple (LCM) of 27493 and 27501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27493 and 27501. First we will calculate the prime factors of 27493 and 27501.

Prime Factorization of 27493

Prime factors of 27493 are 19, 1447. Prime factorization of 27493 in exponential form is:

27493 = 191 × 14471

Prime Factorization of 27501

Prime factors of 27501 are 3, 89, 103. Prime factorization of 27501 in exponential form is:

27501 = 31 × 891 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 27493 and 27501.

LCM(27493,27501) = 191 × 14471 × 31 × 891 × 1031
LCM(27493,27501) = 756084993