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What is the Least Common Multiple of 11850 and 11856?

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 11850 and 11856 is 23415600.

LCM(11850,11856) = 23415600

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Least Common Multiple of 11850 and 11856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11850 and 11856, than apply into the LCM equation.

GCF(11850,11856) = 6
LCM(11850,11856) = ( 11850 × 11856) / 6
LCM(11850,11856) = 140493600 / 6
LCM(11850,11856) = 23415600

Least Common Multiple (LCM) of 11850 and 11856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11850 and 11856. First we will calculate the prime factors of 11850 and 11856.

Prime Factorization of 11850

Prime factors of 11850 are 2, 3, 5, 79. Prime factorization of 11850 in exponential form is:

11850 = 21 × 31 × 52 × 791

Prime Factorization of 11856

Prime factors of 11856 are 2, 3, 13, 19. Prime factorization of 11856 in exponential form is:

11856 = 24 × 31 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 11850 and 11856.

LCM(11850,11856) = 24 × 31 × 52 × 791 × 131 × 191
LCM(11850,11856) = 23415600