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What is the Least Common Multiple of 68817 and 68836?

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 68817 and 68836 is 4737087012.

LCM(68817,68836) = 4737087012

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Least Common Multiple of 68817 and 68836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68817 and 68836, than apply into the LCM equation.

GCF(68817,68836) = 1
LCM(68817,68836) = ( 68817 × 68836) / 1
LCM(68817,68836) = 4737087012 / 1
LCM(68817,68836) = 4737087012

Least Common Multiple (LCM) of 68817 and 68836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68817 and 68836. First we will calculate the prime factors of 68817 and 68836.

Prime Factorization of 68817

Prime factors of 68817 are 3, 7, 29, 113. Prime factorization of 68817 in exponential form is:

68817 = 31 × 71 × 291 × 1131

Prime Factorization of 68836

Prime factors of 68836 are 2, 17209. Prime factorization of 68836 in exponential form is:

68836 = 22 × 172091

Now multiplying the highest exponent prime factors to calculate the LCM of 68817 and 68836.

LCM(68817,68836) = 31 × 71 × 291 × 1131 × 22 × 172091
LCM(68817,68836) = 4737087012