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What is the Least Common Multiple of 66627 and 66643?

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 66643 is 4440223161.

LCM(66627,66643) = 4440223161

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Least Common Multiple of 66627 and 66643 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 66643, than apply into the LCM equation.

GCF(66627,66643) = 1
LCM(66627,66643) = ( 66627 × 66643) / 1
LCM(66627,66643) = 4440223161 / 1
LCM(66627,66643) = 4440223161

Least Common Multiple (LCM) of 66627 and 66643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66627 and 66643. First we will calculate the prime factors of 66627 and 66643.

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 66643

Prime factors of 66643 are 66643. Prime factorization of 66643 in exponential form is:

66643 = 666431

Now multiplying the highest exponent prime factors to calculate the LCM of 66627 and 66643.

LCM(66627,66643) = 32 × 111 × 6731 × 666431
LCM(66627,66643) = 4440223161