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What is the Least Common Multiple of 12341 and 12350?

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 12350 is 152411350.

LCM(12341,12350) = 152411350

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Least Common Multiple of 12341 and 12350 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 12350, than apply into the LCM equation.

GCF(12341,12350) = 1
LCM(12341,12350) = ( 12341 × 12350) / 1
LCM(12341,12350) = 152411350 / 1
LCM(12341,12350) = 152411350

Least Common Multiple (LCM) of 12341 and 12350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12341 and 12350. First we will calculate the prime factors of 12341 and 12350.

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 12350

Prime factors of 12350 are 2, 5, 13, 19. Prime factorization of 12350 in exponential form is:

12350 = 21 × 52 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 12341 and 12350.

LCM(12341,12350) = 71 × 411 × 431 × 21 × 52 × 131 × 191
LCM(12341,12350) = 152411350