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What is the Least Common Multiple of 66335 and 66345?

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 66335 and 66345 is 880199115.

LCM(66335,66345) = 880199115

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Least Common Multiple of 66335 and 66345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66335 and 66345, than apply into the LCM equation.

GCF(66335,66345) = 5
LCM(66335,66345) = ( 66335 × 66345) / 5
LCM(66335,66345) = 4400995575 / 5
LCM(66335,66345) = 880199115

Least Common Multiple (LCM) of 66335 and 66345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66335 and 66345. First we will calculate the prime factors of 66335 and 66345.

Prime Factorization of 66335

Prime factors of 66335 are 5, 13267. Prime factorization of 66335 in exponential form is:

66335 = 51 × 132671

Prime Factorization of 66345

Prime factors of 66345 are 3, 5, 4423. Prime factorization of 66345 in exponential form is:

66345 = 31 × 51 × 44231

Now multiplying the highest exponent prime factors to calculate the LCM of 66335 and 66345.

LCM(66335,66345) = 51 × 132671 × 31 × 44231
LCM(66335,66345) = 880199115