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What is the Least Common Multiple of 66285 and 66296?

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 66285 and 66296 is 4394430360.

LCM(66285,66296) = 4394430360

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Least Common Multiple of 66285 and 66296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66285 and 66296, than apply into the LCM equation.

GCF(66285,66296) = 1
LCM(66285,66296) = ( 66285 × 66296) / 1
LCM(66285,66296) = 4394430360 / 1
LCM(66285,66296) = 4394430360

Least Common Multiple (LCM) of 66285 and 66296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66285 and 66296. First we will calculate the prime factors of 66285 and 66296.

Prime Factorization of 66285

Prime factors of 66285 are 3, 5, 491. Prime factorization of 66285 in exponential form is:

66285 = 33 × 51 × 4911

Prime Factorization of 66296

Prime factors of 66296 are 2, 8287. Prime factorization of 66296 in exponential form is:

66296 = 23 × 82871

Now multiplying the highest exponent prime factors to calculate the LCM of 66285 and 66296.

LCM(66285,66296) = 33 × 51 × 4911 × 23 × 82871
LCM(66285,66296) = 4394430360