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What is the Least Common Multiple of 11316 and 11322?

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 11316 and 11322 is 21353292.

LCM(11316,11322) = 21353292

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Least Common Multiple of 11316 and 11322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11316 and 11322, than apply into the LCM equation.

GCF(11316,11322) = 6
LCM(11316,11322) = ( 11316 × 11322) / 6
LCM(11316,11322) = 128119752 / 6
LCM(11316,11322) = 21353292

Least Common Multiple (LCM) of 11316 and 11322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11316 and 11322. First we will calculate the prime factors of 11316 and 11322.

Prime Factorization of 11316

Prime factors of 11316 are 2, 3, 23, 41. Prime factorization of 11316 in exponential form is:

11316 = 22 × 31 × 231 × 411

Prime Factorization of 11322

Prime factors of 11322 are 2, 3, 17, 37. Prime factorization of 11322 in exponential form is:

11322 = 21 × 32 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 11316 and 11322.

LCM(11316,11322) = 22 × 32 × 231 × 411 × 171 × 371
LCM(11316,11322) = 21353292