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What is the Least Common Multiple of 27486 and 27493?

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 27486 and 27493 is 755672598.

LCM(27486,27493) = 755672598

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Least Common Multiple of 27486 and 27493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27486 and 27493, than apply into the LCM equation.

GCF(27486,27493) = 1
LCM(27486,27493) = ( 27486 × 27493) / 1
LCM(27486,27493) = 755672598 / 1
LCM(27486,27493) = 755672598

Least Common Multiple (LCM) of 27486 and 27493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27486 and 27493. First we will calculate the prime factors of 27486 and 27493.

Prime Factorization of 27486

Prime factors of 27486 are 2, 3, 509. Prime factorization of 27486 in exponential form is:

27486 = 21 × 33 × 5091

Prime Factorization of 27493

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

27493 = 191 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 27486 and 27493.

LCM(27486,27493) = 21 × 33 × 5091 × 191 × 14471
LCM(27486,27493) = 755672598