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What is the Least Common Multiple of 66635 and 66652?

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 66635 and 66652 is 4441356020.

LCM(66635,66652) = 4441356020

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Least Common Multiple of 66635 and 66652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66635 and 66652, than apply into the LCM equation.

GCF(66635,66652) = 1
LCM(66635,66652) = ( 66635 × 66652) / 1
LCM(66635,66652) = 4441356020 / 1
LCM(66635,66652) = 4441356020

Least Common Multiple (LCM) of 66635 and 66652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66635 and 66652. First we will calculate the prime factors of 66635 and 66652.

Prime Factorization of 66635

Prime factors of 66635 are 5, 13327. Prime factorization of 66635 in exponential form is:

66635 = 51 × 133271

Prime Factorization of 66652

Prime factors of 66652 are 2, 19, 877. Prime factorization of 66652 in exponential form is:

66652 = 22 × 191 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 66635 and 66652.

LCM(66635,66652) = 51 × 133271 × 22 × 191 × 8771
LCM(66635,66652) = 4441356020