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What is the Least Common Multiple of 11469 and 11477?

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 11469 and 11477 is 131629713.

LCM(11469,11477) = 131629713

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Least Common Multiple of 11469 and 11477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11469 and 11477, than apply into the LCM equation.

GCF(11469,11477) = 1
LCM(11469,11477) = ( 11469 × 11477) / 1
LCM(11469,11477) = 131629713 / 1
LCM(11469,11477) = 131629713

Least Common Multiple (LCM) of 11469 and 11477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11469 and 11477. First we will calculate the prime factors of 11469 and 11477.

Prime Factorization of 11469

Prime factors of 11469 are 3, 3823. Prime factorization of 11469 in exponential form is:

11469 = 31 × 38231

Prime Factorization of 11477

Prime factors of 11477 are 23, 499. Prime factorization of 11477 in exponential form is:

11477 = 231 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 11469 and 11477.

LCM(11469,11477) = 31 × 38231 × 231 × 4991
LCM(11469,11477) = 131629713