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What is the Least Common Multiple of 12316 and 12328?

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 12316 and 12328 is 37957912.

LCM(12316,12328) = 37957912

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Least Common Multiple of 12316 and 12328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12316 and 12328, than apply into the LCM equation.

GCF(12316,12328) = 4
LCM(12316,12328) = ( 12316 × 12328) / 4
LCM(12316,12328) = 151831648 / 4
LCM(12316,12328) = 37957912

Least Common Multiple (LCM) of 12316 and 12328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12316 and 12328. First we will calculate the prime factors of 12316 and 12328.

Prime Factorization of 12316

Prime factors of 12316 are 2, 3079. Prime factorization of 12316 in exponential form is:

12316 = 22 × 30791

Prime Factorization of 12328

Prime factors of 12328 are 2, 23, 67. Prime factorization of 12328 in exponential form is:

12328 = 23 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 12316 and 12328.

LCM(12316,12328) = 23 × 30791 × 231 × 671
LCM(12316,12328) = 37957912