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What is the Least Common Multiple of 43871 and 43886?

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 43886 is 1925322706.

LCM(43871,43886) = 1925322706

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Least Common Multiple of 43871 and 43886 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 43886, than apply into the LCM equation.

GCF(43871,43886) = 1
LCM(43871,43886) = ( 43871 × 43886) / 1
LCM(43871,43886) = 1925322706 / 1
LCM(43871,43886) = 1925322706

Least Common Multiple (LCM) of 43871 and 43886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43871 and 43886. First we will calculate the prime factors of 43871 and 43886.

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 43886

Prime factors of 43886 are 2, 21943. Prime factorization of 43886 in exponential form is:

43886 = 21 × 219431

Now multiplying the highest exponent prime factors to calculate the LCM of 43871 and 43886.

LCM(43871,43886) = 191 × 23091 × 21 × 219431
LCM(43871,43886) = 1925322706