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What is the Least Common Multiple of 7268 and 7288?

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 7268 and 7288 is 13242296.

LCM(7268,7288) = 13242296

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Least Common Multiple of 7268 and 7288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7268 and 7288, than apply into the LCM equation.

GCF(7268,7288) = 4
LCM(7268,7288) = ( 7268 × 7288) / 4
LCM(7268,7288) = 52969184 / 4
LCM(7268,7288) = 13242296

Least Common Multiple (LCM) of 7268 and 7288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7268 and 7288. First we will calculate the prime factors of 7268 and 7288.

Prime Factorization of 7268

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

7268 = 22 × 231 × 791

Prime Factorization of 7288

Prime factors of 7288 are 2, 911. Prime factorization of 7288 in exponential form is:

7288 = 23 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 7268 and 7288.

LCM(7268,7288) = 23 × 231 × 791 × 9111
LCM(7268,7288) = 13242296