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What is the Least Common Multiple of 31114 and 31119?

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 31114 and 31119 is 968236566.

LCM(31114,31119) = 968236566

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Least Common Multiple of 31114 and 31119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31114 and 31119, than apply into the LCM equation.

GCF(31114,31119) = 1
LCM(31114,31119) = ( 31114 × 31119) / 1
LCM(31114,31119) = 968236566 / 1
LCM(31114,31119) = 968236566

Least Common Multiple (LCM) of 31114 and 31119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31114 and 31119. First we will calculate the prime factors of 31114 and 31119.

Prime Factorization of 31114

Prime factors of 31114 are 2, 47, 331. Prime factorization of 31114 in exponential form is:

31114 = 21 × 471 × 3311

Prime Factorization of 31119

Prime factors of 31119 are 3, 11, 23, 41. Prime factorization of 31119 in exponential form is:

31119 = 31 × 111 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 31114 and 31119.

LCM(31114,31119) = 21 × 471 × 3311 × 31 × 111 × 231 × 411
LCM(31114,31119) = 968236566