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What is the Least Common Multiple of 7255 and 7268?

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 7255 and 7268 is 52729340.

LCM(7255,7268) = 52729340

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Least Common Multiple of 7255 and 7268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7255 and 7268, than apply into the LCM equation.

GCF(7255,7268) = 1
LCM(7255,7268) = ( 7255 × 7268) / 1
LCM(7255,7268) = 52729340 / 1
LCM(7255,7268) = 52729340

Least Common Multiple (LCM) of 7255 and 7268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7255 and 7268. First we will calculate the prime factors of 7255 and 7268.

Prime Factorization of 7255

Prime factors of 7255 are 5, 1451. Prime factorization of 7255 in exponential form is:

7255 = 51 × 14511

Prime Factorization of 7268

Prime factors of 7268 are 2, 23, 79. Prime factorization of 7268 in exponential form is:

7268 = 22 × 231 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 7255 and 7268.

LCM(7255,7268) = 51 × 14511 × 22 × 231 × 791
LCM(7255,7268) = 52729340