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What is the Least Common Multiple of 11869 and 11885?

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 11869 and 11885 is 141063065.

LCM(11869,11885) = 141063065

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Least Common Multiple of 11869 and 11885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11869 and 11885, than apply into the LCM equation.

GCF(11869,11885) = 1
LCM(11869,11885) = ( 11869 × 11885) / 1
LCM(11869,11885) = 141063065 / 1
LCM(11869,11885) = 141063065

Least Common Multiple (LCM) of 11869 and 11885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11869 and 11885. First we will calculate the prime factors of 11869 and 11885.

Prime Factorization of 11869

Prime factors of 11869 are 11, 13, 83. Prime factorization of 11869 in exponential form is:

11869 = 111 × 131 × 831

Prime Factorization of 11885

Prime factors of 11885 are 5, 2377. Prime factorization of 11885 in exponential form is:

11885 = 51 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 11869 and 11885.

LCM(11869,11885) = 111 × 131 × 831 × 51 × 23771
LCM(11869,11885) = 141063065