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What is the Least Common Multiple of 66007 and 66027?

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 66007 and 66027 is 4358244189.

LCM(66007,66027) = 4358244189

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Least Common Multiple of 66007 and 66027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66007 and 66027, than apply into the LCM equation.

GCF(66007,66027) = 1
LCM(66007,66027) = ( 66007 × 66027) / 1
LCM(66007,66027) = 4358244189 / 1
LCM(66007,66027) = 4358244189

Least Common Multiple (LCM) of 66007 and 66027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66007 and 66027. First we will calculate the prime factors of 66007 and 66027.

Prime Factorization of 66007

Prime factors of 66007 are 149, 443. Prime factorization of 66007 in exponential form is:

66007 = 1491 × 4431

Prime Factorization of 66027

Prime factors of 66027 are 3, 13, 1693. Prime factorization of 66027 in exponential form is:

66027 = 31 × 131 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 66007 and 66027.

LCM(66007,66027) = 1491 × 4431 × 31 × 131 × 16931
LCM(66007,66027) = 4358244189