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What is the Least Common Multiple of 43663 and 43668?

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 43663 and 43668 is 1906675884.

LCM(43663,43668) = 1906675884

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Least Common Multiple of 43663 and 43668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43663 and 43668, than apply into the LCM equation.

GCF(43663,43668) = 1
LCM(43663,43668) = ( 43663 × 43668) / 1
LCM(43663,43668) = 1906675884 / 1
LCM(43663,43668) = 1906675884

Least Common Multiple (LCM) of 43663 and 43668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43663 and 43668. First we will calculate the prime factors of 43663 and 43668.

Prime Factorization of 43663

Prime factors of 43663 are 47, 929. Prime factorization of 43663 in exponential form is:

43663 = 471 × 9291

Prime Factorization of 43668

Prime factors of 43668 are 2, 3, 1213. Prime factorization of 43668 in exponential form is:

43668 = 22 × 32 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 43663 and 43668.

LCM(43663,43668) = 471 × 9291 × 22 × 32 × 12131
LCM(43663,43668) = 1906675884