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What is the Least Common Multiple of 31291 and 31305?

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 31291 and 31305 is 979564755.

LCM(31291,31305) = 979564755

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Least Common Multiple of 31291 and 31305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31291 and 31305, than apply into the LCM equation.

GCF(31291,31305) = 1
LCM(31291,31305) = ( 31291 × 31305) / 1
LCM(31291,31305) = 979564755 / 1
LCM(31291,31305) = 979564755

Least Common Multiple (LCM) of 31291 and 31305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31291 and 31305. First we will calculate the prime factors of 31291 and 31305.

Prime Factorization of 31291

Prime factors of 31291 are 13, 29, 83. Prime factorization of 31291 in exponential form is:

31291 = 131 × 291 × 831

Prime Factorization of 31305

Prime factors of 31305 are 3, 5, 2087. Prime factorization of 31305 in exponential form is:

31305 = 31 × 51 × 20871

Now multiplying the highest exponent prime factors to calculate the LCM of 31291 and 31305.

LCM(31291,31305) = 131 × 291 × 831 × 31 × 51 × 20871
LCM(31291,31305) = 979564755