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What is the Least Common Multiple of 66335 and 66346?

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 66346 is 4401061910.

LCM(66335,66346) = 4401061910

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Least Common Multiple of 66335 and 66346 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 66346, than apply into the LCM equation.

GCF(66335,66346) = 1
LCM(66335,66346) = ( 66335 × 66346) / 1
LCM(66335,66346) = 4401061910 / 1
LCM(66335,66346) = 4401061910

Least Common Multiple (LCM) of 66335 and 66346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66335 and 66346. First we will calculate the prime factors of 66335 and 66346.

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 66346

Prime factors of 66346 are 2, 7, 677. Prime factorization of 66346 in exponential form is:

66346 = 21 × 72 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 66335 and 66346.

LCM(66335,66346) = 51 × 132671 × 21 × 72 × 6771
LCM(66335,66346) = 4401061910