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What is the Least Common Multiple of 66255 and 66261?

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 66261 is 1463374185.

LCM(66255,66261) = 1463374185

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Least Common Multiple of 66255 and 66261 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 66261, than apply into the LCM equation.

GCF(66255,66261) = 3
LCM(66255,66261) = ( 66255 × 66261) / 3
LCM(66255,66261) = 4390122555 / 3
LCM(66255,66261) = 1463374185

Least Common Multiple (LCM) of 66255 and 66261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66255 and 66261. First we will calculate the prime factors of 66255 and 66261.

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 66261

Prime factors of 66261 are 3, 13, 1699. Prime factorization of 66261 in exponential form is:

66261 = 31 × 131 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 66255 and 66261.

LCM(66255,66261) = 31 × 51 × 71 × 6311 × 131 × 16991
LCM(66255,66261) = 1463374185