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What is the Least Common Multiple of 43829 and 43839?

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 43829 and 43839 is 1921419531.

LCM(43829,43839) = 1921419531

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Least Common Multiple of 43829 and 43839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43829 and 43839, than apply into the LCM equation.

GCF(43829,43839) = 1
LCM(43829,43839) = ( 43829 × 43839) / 1
LCM(43829,43839) = 1921419531 / 1
LCM(43829,43839) = 1921419531

Least Common Multiple (LCM) of 43829 and 43839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43829 and 43839. First we will calculate the prime factors of 43829 and 43839.

Prime Factorization of 43829

Prime factors of 43829 are 41, 1069. Prime factorization of 43829 in exponential form is:

43829 = 411 × 10691

Prime Factorization of 43839

Prime factors of 43839 are 3, 4871. Prime factorization of 43839 in exponential form is:

43839 = 32 × 48711

Now multiplying the highest exponent prime factors to calculate the LCM of 43829 and 43839.

LCM(43829,43839) = 411 × 10691 × 32 × 48711
LCM(43829,43839) = 1921419531