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What is the Least Common Multiple of 3268 and 3278?

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 3268 and 3278 is 5356252.

LCM(3268,3278) = 5356252

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Least Common Multiple of 3268 and 3278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3268 and 3278, than apply into the LCM equation.

GCF(3268,3278) = 2
LCM(3268,3278) = ( 3268 × 3278) / 2
LCM(3268,3278) = 10712504 / 2
LCM(3268,3278) = 5356252

Least Common Multiple (LCM) of 3268 and 3278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3268 and 3278. First we will calculate the prime factors of 3268 and 3278.

Prime Factorization of 3268

Prime factors of 3268 are 2, 19, 43. Prime factorization of 3268 in exponential form is:

3268 = 22 × 191 × 431

Prime Factorization of 3278

Prime factors of 3278 are 2, 11, 149. Prime factorization of 3278 in exponential form is:

3278 = 21 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3268 and 3278.

LCM(3268,3278) = 22 × 191 × 431 × 111 × 1491
LCM(3268,3278) = 5356252