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What is the Least Common Multiple of 11260 and 11278?

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 11260 and 11278 is 63495140.

LCM(11260,11278) = 63495140

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Least Common Multiple of 11260 and 11278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11260 and 11278, than apply into the LCM equation.

GCF(11260,11278) = 2
LCM(11260,11278) = ( 11260 × 11278) / 2
LCM(11260,11278) = 126990280 / 2
LCM(11260,11278) = 63495140

Least Common Multiple (LCM) of 11260 and 11278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11260 and 11278. First we will calculate the prime factors of 11260 and 11278.

Prime Factorization of 11260

Prime factors of 11260 are 2, 5, 563. Prime factorization of 11260 in exponential form is:

11260 = 22 × 51 × 5631

Prime Factorization of 11278

Prime factors of 11278 are 2, 5639. Prime factorization of 11278 in exponential form is:

11278 = 21 × 56391

Now multiplying the highest exponent prime factors to calculate the LCM of 11260 and 11278.

LCM(11260,11278) = 22 × 51 × 5631 × 56391
LCM(11260,11278) = 63495140