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What is the Least Common Multiple of 43871 and 43879?

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 43871 and 43879 is 1925015609.

LCM(43871,43879) = 1925015609

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Least Common Multiple of 43871 and 43879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43871 and 43879, than apply into the LCM equation.

GCF(43871,43879) = 1
LCM(43871,43879) = ( 43871 × 43879) / 1
LCM(43871,43879) = 1925015609 / 1
LCM(43871,43879) = 1925015609

Least Common Multiple (LCM) of 43871 and 43879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43871 and 43879. First we will calculate the prime factors of 43871 and 43879.

Prime Factorization of 43871

Prime factors of 43871 are 19, 2309. Prime factorization of 43871 in exponential form is:

43871 = 191 × 23091

Prime Factorization of 43879

Prime factors of 43879 are 11, 3989. Prime factorization of 43879 in exponential form is:

43879 = 111 × 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 43871 and 43879.

LCM(43871,43879) = 191 × 23091 × 111 × 39891
LCM(43871,43879) = 1925015609