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What is the Least Common Multiple of 3262 and 3273?

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 3262 and 3273 is 10676526.

LCM(3262,3273) = 10676526

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Least Common Multiple of 3262 and 3273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3262 and 3273, than apply into the LCM equation.

GCF(3262,3273) = 1
LCM(3262,3273) = ( 3262 × 3273) / 1
LCM(3262,3273) = 10676526 / 1
LCM(3262,3273) = 10676526

Least Common Multiple (LCM) of 3262 and 3273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3262 and 3273. First we will calculate the prime factors of 3262 and 3273.

Prime Factorization of 3262

Prime factors of 3262 are 2, 7, 233. Prime factorization of 3262 in exponential form is:

3262 = 21 × 71 × 2331

Prime Factorization of 3273

Prime factors of 3273 are 3, 1091. Prime factorization of 3273 in exponential form is:

3273 = 31 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 3262 and 3273.

LCM(3262,3273) = 21 × 71 × 2331 × 31 × 10911
LCM(3262,3273) = 10676526