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What is the Least Common Multiple of 66313 and 66317?

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 66313 and 66317 is 4397679221.

LCM(66313,66317) = 4397679221

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Least Common Multiple of 66313 and 66317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66313 and 66317, than apply into the LCM equation.

GCF(66313,66317) = 1
LCM(66313,66317) = ( 66313 × 66317) / 1
LCM(66313,66317) = 4397679221 / 1
LCM(66313,66317) = 4397679221

Least Common Multiple (LCM) of 66313 and 66317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66313 and 66317. First we will calculate the prime factors of 66313 and 66317.

Prime Factorization of 66313

Prime factors of 66313 are 13, 5101. Prime factorization of 66313 in exponential form is:

66313 = 131 × 51011

Prime Factorization of 66317

Prime factors of 66317 are 17, 47, 83. Prime factorization of 66317 in exponential form is:

66317 = 171 × 471 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 66313 and 66317.

LCM(66313,66317) = 131 × 51011 × 171 × 471 × 831
LCM(66313,66317) = 4397679221