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What is the Least Common Multiple of 32818 and 32827?

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 32818 and 32827 is 1077316486.

LCM(32818,32827) = 1077316486

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Least Common Multiple of 32818 and 32827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32818 and 32827, than apply into the LCM equation.

GCF(32818,32827) = 1
LCM(32818,32827) = ( 32818 × 32827) / 1
LCM(32818,32827) = 1077316486 / 1
LCM(32818,32827) = 1077316486

Least Common Multiple (LCM) of 32818 and 32827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32818 and 32827. First we will calculate the prime factors of 32818 and 32827.

Prime Factorization of 32818

Prime factors of 32818 are 2, 61, 269. Prime factorization of 32818 in exponential form is:

32818 = 21 × 611 × 2691

Prime Factorization of 32827

Prime factors of 32827 are 17, 1931. Prime factorization of 32827 in exponential form is:

32827 = 171 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 32818 and 32827.

LCM(32818,32827) = 21 × 611 × 2691 × 171 × 19311
LCM(32818,32827) = 1077316486