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What is the Least Common Multiple of 3113 and 3127?

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 3113 and 3127 is 9734351.

LCM(3113,3127) = 9734351

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Least Common Multiple of 3113 and 3127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3113 and 3127, than apply into the LCM equation.

GCF(3113,3127) = 1
LCM(3113,3127) = ( 3113 × 3127) / 1
LCM(3113,3127) = 9734351 / 1
LCM(3113,3127) = 9734351

Least Common Multiple (LCM) of 3113 and 3127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3113 and 3127. First we will calculate the prime factors of 3113 and 3127.

Prime Factorization of 3113

Prime factors of 3113 are 11, 283. Prime factorization of 3113 in exponential form is:

3113 = 111 × 2831

Prime Factorization of 3127

Prime factors of 3127 are 53, 59. Prime factorization of 3127 in exponential form is:

3127 = 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 3113 and 3127.

LCM(3113,3127) = 111 × 2831 × 531 × 591
LCM(3113,3127) = 9734351