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What is the Least Common Multiple of 7278 and 7284?

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 7278 and 7284 is 8835492.

LCM(7278,7284) = 8835492

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Least Common Multiple of 7278 and 7284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7278 and 7284, than apply into the LCM equation.

GCF(7278,7284) = 6
LCM(7278,7284) = ( 7278 × 7284) / 6
LCM(7278,7284) = 53012952 / 6
LCM(7278,7284) = 8835492

Least Common Multiple (LCM) of 7278 and 7284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7278 and 7284. First we will calculate the prime factors of 7278 and 7284.

Prime Factorization of 7278

Prime factors of 7278 are 2, 3, 1213. Prime factorization of 7278 in exponential form is:

7278 = 21 × 31 × 12131

Prime Factorization of 7284

Prime factors of 7284 are 2, 3, 607. Prime factorization of 7284 in exponential form is:

7284 = 22 × 31 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 7278 and 7284.

LCM(7278,7284) = 22 × 31 × 12131 × 6071
LCM(7278,7284) = 8835492