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What is the Least Common Multiple of 12341 and 12360?

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 12341 and 12360 is 152534760.

LCM(12341,12360) = 152534760

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Least Common Multiple of 12341 and 12360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12341 and 12360, than apply into the LCM equation.

GCF(12341,12360) = 1
LCM(12341,12360) = ( 12341 × 12360) / 1
LCM(12341,12360) = 152534760 / 1
LCM(12341,12360) = 152534760

Least Common Multiple (LCM) of 12341 and 12360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12341 and 12360. First we will calculate the prime factors of 12341 and 12360.

Prime Factorization of 12341

Prime factors of 12341 are 7, 41, 43. Prime factorization of 12341 in exponential form is:

12341 = 71 × 411 × 431

Prime Factorization of 12360

Prime factors of 12360 are 2, 3, 5, 103. Prime factorization of 12360 in exponential form is:

12360 = 23 × 31 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 12341 and 12360.

LCM(12341,12360) = 71 × 411 × 431 × 23 × 31 × 51 × 1031
LCM(12341,12360) = 152534760