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What is the Least Common Multiple of 43879 and 43896?

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 43879 and 43896 is 1926112584.

LCM(43879,43896) = 1926112584

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Least Common Multiple of 43879 and 43896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43879 and 43896, than apply into the LCM equation.

GCF(43879,43896) = 1
LCM(43879,43896) = ( 43879 × 43896) / 1
LCM(43879,43896) = 1926112584 / 1
LCM(43879,43896) = 1926112584

Least Common Multiple (LCM) of 43879 and 43896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43879 and 43896. First we will calculate the prime factors of 43879 and 43896.

Prime Factorization of 43879

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

43879 = 111 × 39891

Prime Factorization of 43896

Prime factors of 43896 are 2, 3, 31, 59. Prime factorization of 43896 in exponential form is:

43896 = 23 × 31 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 43879 and 43896.

LCM(43879,43896) = 111 × 39891 × 23 × 31 × 311 × 591
LCM(43879,43896) = 1926112584