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What is the Least Common Multiple of 3286 and 3302?

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 3286 and 3302 is 5425186.

LCM(3286,3302) = 5425186

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Least Common Multiple of 3286 and 3302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3286 and 3302, than apply into the LCM equation.

GCF(3286,3302) = 2
LCM(3286,3302) = ( 3286 × 3302) / 2
LCM(3286,3302) = 10850372 / 2
LCM(3286,3302) = 5425186

Least Common Multiple (LCM) of 3286 and 3302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3286 and 3302. First we will calculate the prime factors of 3286 and 3302.

Prime Factorization of 3286

Prime factors of 3286 are 2, 31, 53. Prime factorization of 3286 in exponential form is:

3286 = 21 × 311 × 531

Prime Factorization of 3302

Prime factors of 3302 are 2, 13, 127. Prime factorization of 3302 in exponential form is:

3302 = 21 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3286 and 3302.

LCM(3286,3302) = 21 × 311 × 531 × 131 × 1271
LCM(3286,3302) = 5425186