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What is the Least Common Multiple of 31119 and 31129?

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 31119 and 31129 is 968703351.

LCM(31119,31129) = 968703351

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Least Common Multiple of 31119 and 31129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31119 and 31129, than apply into the LCM equation.

GCF(31119,31129) = 1
LCM(31119,31129) = ( 31119 × 31129) / 1
LCM(31119,31129) = 968703351 / 1
LCM(31119,31129) = 968703351

Least Common Multiple (LCM) of 31119 and 31129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31119 and 31129. First we will calculate the prime factors of 31119 and 31129.

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

Prime Factorization of 31129

Prime factors of 31129 are 7, 4447. Prime factorization of 31129 in exponential form is:

31129 = 71 × 44471

Now multiplying the highest exponent prime factors to calculate the LCM of 31119 and 31129.

LCM(31119,31129) = 31 × 111 × 231 × 411 × 71 × 44471
LCM(31119,31129) = 968703351