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What is the Least Common Multiple of 66276 and 66289?

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 66276 and 66289 is 4393369764.

LCM(66276,66289) = 4393369764

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Least Common Multiple of 66276 and 66289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66276 and 66289, than apply into the LCM equation.

GCF(66276,66289) = 1
LCM(66276,66289) = ( 66276 × 66289) / 1
LCM(66276,66289) = 4393369764 / 1
LCM(66276,66289) = 4393369764

Least Common Multiple (LCM) of 66276 and 66289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66276 and 66289. First we will calculate the prime factors of 66276 and 66289.

Prime Factorization of 66276

Prime factors of 66276 are 2, 3, 7, 263. Prime factorization of 66276 in exponential form is:

66276 = 22 × 32 × 71 × 2631

Prime Factorization of 66289

Prime factors of 66289 are 151, 439. Prime factorization of 66289 in exponential form is:

66289 = 1511 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 66276 and 66289.

LCM(66276,66289) = 22 × 32 × 71 × 2631 × 1511 × 4391
LCM(66276,66289) = 4393369764