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What is the Least Common Multiple of 66116 and 66135?

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 66116 and 66135 is 4372581660.

LCM(66116,66135) = 4372581660

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Least Common Multiple of 66116 and 66135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66116 and 66135, than apply into the LCM equation.

GCF(66116,66135) = 1
LCM(66116,66135) = ( 66116 × 66135) / 1
LCM(66116,66135) = 4372581660 / 1
LCM(66116,66135) = 4372581660

Least Common Multiple (LCM) of 66116 and 66135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66116 and 66135. First we will calculate the prime factors of 66116 and 66135.

Prime Factorization of 66116

Prime factors of 66116 are 2, 16529. Prime factorization of 66116 in exponential form is:

66116 = 22 × 165291

Prime Factorization of 66135

Prime factors of 66135 are 3, 5, 4409. Prime factorization of 66135 in exponential form is:

66135 = 31 × 51 × 44091

Now multiplying the highest exponent prime factors to calculate the LCM of 66116 and 66135.

LCM(66116,66135) = 22 × 165291 × 31 × 51 × 44091
LCM(66116,66135) = 4372581660