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What is the Least Common Multiple of 43329 and 43341?

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 43329 and 43341 is 625974063.

LCM(43329,43341) = 625974063

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Least Common Multiple of 43329 and 43341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43329 and 43341, than apply into the LCM equation.

GCF(43329,43341) = 3
LCM(43329,43341) = ( 43329 × 43341) / 3
LCM(43329,43341) = 1877922189 / 3
LCM(43329,43341) = 625974063

Least Common Multiple (LCM) of 43329 and 43341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43329 and 43341. First we will calculate the prime factors of 43329 and 43341.

Prime Factorization of 43329

Prime factors of 43329 are 3, 11, 13, 101. Prime factorization of 43329 in exponential form is:

43329 = 31 × 111 × 131 × 1011

Prime Factorization of 43341

Prime factors of 43341 are 3, 14447. Prime factorization of 43341 in exponential form is:

43341 = 31 × 144471

Now multiplying the highest exponent prime factors to calculate the LCM of 43329 and 43341.

LCM(43329,43341) = 31 × 111 × 131 × 1011 × 144471
LCM(43329,43341) = 625974063