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What is the Least Common Multiple of 66627 and 66647?

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 66627 and 66647 is 4440489669.

LCM(66627,66647) = 4440489669

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Least Common Multiple of 66627 and 66647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66627 and 66647, than apply into the LCM equation.

GCF(66627,66647) = 1
LCM(66627,66647) = ( 66627 × 66647) / 1
LCM(66627,66647) = 4440489669 / 1
LCM(66627,66647) = 4440489669

Least Common Multiple (LCM) of 66627 and 66647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66627 and 66647. First we will calculate the prime factors of 66627 and 66647.

Prime Factorization of 66627

Prime factors of 66627 are 3, 11, 673. Prime factorization of 66627 in exponential form is:

66627 = 32 × 111 × 6731

Prime Factorization of 66647

Prime factors of 66647 are 7, 9521. Prime factorization of 66647 in exponential form is:

66647 = 71 × 95211

Now multiplying the highest exponent prime factors to calculate the LCM of 66627 and 66647.

LCM(66627,66647) = 32 × 111 × 6731 × 71 × 95211
LCM(66627,66647) = 4440489669