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What is the Least Common Multiple of 31297 and 31313?

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 31297 and 31313 is 980002961.

LCM(31297,31313) = 980002961

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Least Common Multiple of 31297 and 31313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31297 and 31313, than apply into the LCM equation.

GCF(31297,31313) = 1
LCM(31297,31313) = ( 31297 × 31313) / 1
LCM(31297,31313) = 980002961 / 1
LCM(31297,31313) = 980002961

Least Common Multiple (LCM) of 31297 and 31313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31297 and 31313. First we will calculate the prime factors of 31297 and 31313.

Prime Factorization of 31297

Prime factors of 31297 are 7, 17, 263. Prime factorization of 31297 in exponential form is:

31297 = 71 × 171 × 2631

Prime Factorization of 31313

Prime factors of 31313 are 173, 181. Prime factorization of 31313 in exponential form is:

31313 = 1731 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 31297 and 31313.

LCM(31297,31313) = 71 × 171 × 2631 × 1731 × 1811
LCM(31297,31313) = 980002961