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What is the Least Common Multiple of 9260 and 9278?

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 9260 and 9278 is 42957140.

LCM(9260,9278) = 42957140

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Least Common Multiple of 9260 and 9278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9260 and 9278, than apply into the LCM equation.

GCF(9260,9278) = 2
LCM(9260,9278) = ( 9260 × 9278) / 2
LCM(9260,9278) = 85914280 / 2
LCM(9260,9278) = 42957140

Least Common Multiple (LCM) of 9260 and 9278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9260 and 9278. First we will calculate the prime factors of 9260 and 9278.

Prime Factorization of 9260

Prime factors of 9260 are 2, 5, 463. Prime factorization of 9260 in exponential form is:

9260 = 22 × 51 × 4631

Prime Factorization of 9278

Prime factors of 9278 are 2, 4639. Prime factorization of 9278 in exponential form is:

9278 = 21 × 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 9260 and 9278.

LCM(9260,9278) = 22 × 51 × 4631 × 46391
LCM(9260,9278) = 42957140