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What is the Least Common Multiple of 67291 and 67303?

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 67291 and 67303 is 4528886173.

LCM(67291,67303) = 4528886173

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Least Common Multiple of 67291 and 67303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67291 and 67303, than apply into the LCM equation.

GCF(67291,67303) = 1
LCM(67291,67303) = ( 67291 × 67303) / 1
LCM(67291,67303) = 4528886173 / 1
LCM(67291,67303) = 4528886173

Least Common Multiple (LCM) of 67291 and 67303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67291 and 67303. First we will calculate the prime factors of 67291 and 67303.

Prime Factorization of 67291

Prime factors of 67291 are 7, 9613. Prime factorization of 67291 in exponential form is:

67291 = 71 × 96131

Prime Factorization of 67303

Prime factors of 67303 are 17, 37, 107. Prime factorization of 67303 in exponential form is:

67303 = 171 × 371 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 67291 and 67303.

LCM(67291,67303) = 71 × 96131 × 171 × 371 × 1071
LCM(67291,67303) = 4528886173