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What is the Least Common Multiple of 27285 and 27298?

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 27285 and 27298 is 744825930.

LCM(27285,27298) = 744825930

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Least Common Multiple of 27285 and 27298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27285 and 27298, than apply into the LCM equation.

GCF(27285,27298) = 1
LCM(27285,27298) = ( 27285 × 27298) / 1
LCM(27285,27298) = 744825930 / 1
LCM(27285,27298) = 744825930

Least Common Multiple (LCM) of 27285 and 27298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27285 and 27298. First we will calculate the prime factors of 27285 and 27298.

Prime Factorization of 27285

Prime factors of 27285 are 3, 5, 17, 107. Prime factorization of 27285 in exponential form is:

27285 = 31 × 51 × 171 × 1071

Prime Factorization of 27298

Prime factors of 27298 are 2, 13649. Prime factorization of 27298 in exponential form is:

27298 = 21 × 136491

Now multiplying the highest exponent prime factors to calculate the LCM of 27285 and 27298.

LCM(27285,27298) = 31 × 51 × 171 × 1071 × 21 × 136491
LCM(27285,27298) = 744825930