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What is the Least Common Multiple of 66438 and 66447?

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 66438 and 66447 is 490511754.

LCM(66438,66447) = 490511754

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Least Common Multiple of 66438 and 66447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66438 and 66447, than apply into the LCM equation.

GCF(66438,66447) = 9
LCM(66438,66447) = ( 66438 × 66447) / 9
LCM(66438,66447) = 4414605786 / 9
LCM(66438,66447) = 490511754

Least Common Multiple (LCM) of 66438 and 66447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66438 and 66447. First we will calculate the prime factors of 66438 and 66447.

Prime Factorization of 66438

Prime factors of 66438 are 2, 3, 3691. Prime factorization of 66438 in exponential form is:

66438 = 21 × 32 × 36911

Prime Factorization of 66447

Prime factors of 66447 are 3, 23, 107. Prime factorization of 66447 in exponential form is:

66447 = 33 × 231 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 66438 and 66447.

LCM(66438,66447) = 21 × 33 × 36911 × 231 × 1071
LCM(66438,66447) = 490511754