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What is the Least Common Multiple of 66255 and 66262?

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 66255 and 66262 is 627169830.

LCM(66255,66262) = 627169830

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Least Common Multiple of 66255 and 66262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66255 and 66262, than apply into the LCM equation.

GCF(66255,66262) = 7
LCM(66255,66262) = ( 66255 × 66262) / 7
LCM(66255,66262) = 4390188810 / 7
LCM(66255,66262) = 627169830

Least Common Multiple (LCM) of 66255 and 66262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66255 and 66262. First we will calculate the prime factors of 66255 and 66262.

Prime Factorization of 66255

Prime factors of 66255 are 3, 5, 7, 631. Prime factorization of 66255 in exponential form is:

66255 = 31 × 51 × 71 × 6311

Prime Factorization of 66262

Prime factors of 66262 are 2, 7, 4733. Prime factorization of 66262 in exponential form is:

66262 = 21 × 71 × 47331

Now multiplying the highest exponent prime factors to calculate the LCM of 66255 and 66262.

LCM(66255,66262) = 31 × 51 × 71 × 6311 × 21 × 47331
LCM(66255,66262) = 627169830