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What is the Least Common Multiple of 66135 and 66155?

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 66135 and 66155 is 875032185.

LCM(66135,66155) = 875032185

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Least Common Multiple of 66135 and 66155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66135 and 66155, than apply into the LCM equation.

GCF(66135,66155) = 5
LCM(66135,66155) = ( 66135 × 66155) / 5
LCM(66135,66155) = 4375160925 / 5
LCM(66135,66155) = 875032185

Least Common Multiple (LCM) of 66135 and 66155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66135 and 66155. First we will calculate the prime factors of 66135 and 66155.

Prime Factorization of 66135

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

66135 = 31 × 51 × 44091

Prime Factorization of 66155

Prime factors of 66155 are 5, 101, 131. Prime factorization of 66155 in exponential form is:

66155 = 51 × 1011 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 66135 and 66155.

LCM(66135,66155) = 31 × 51 × 44091 × 1011 × 1311
LCM(66135,66155) = 875032185