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What is the Least Common Multiple of 7278 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 7278 and 7288 is 26521032.

LCM(7278,7288) = 26521032

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Least Common Multiple of 7278 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 7278 and 7288, than apply into the LCM equation.

GCF(7278,7288) = 2
LCM(7278,7288) = ( 7278 × 7288) / 2
LCM(7278,7288) = 53042064 / 2
LCM(7278,7288) = 26521032

Least Common Multiple (LCM) of 7278 and 7288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7278 and 7288. First we will calculate the prime factors of 7278 and 7288.

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 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 7278 and 7288.

LCM(7278,7288) = 23 × 31 × 12131 × 9111
LCM(7278,7288) = 26521032