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What is the Least Common Multiple of 11287 and 11302?

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 11287 and 11302 is 127565674.

LCM(11287,11302) = 127565674

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Least Common Multiple of 11287 and 11302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11287 and 11302, than apply into the LCM equation.

GCF(11287,11302) = 1
LCM(11287,11302) = ( 11287 × 11302) / 1
LCM(11287,11302) = 127565674 / 1
LCM(11287,11302) = 127565674

Least Common Multiple (LCM) of 11287 and 11302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11287 and 11302. First we will calculate the prime factors of 11287 and 11302.

Prime Factorization of 11287

Prime factors of 11287 are 11287. Prime factorization of 11287 in exponential form is:

11287 = 112871

Prime Factorization of 11302

Prime factors of 11302 are 2, 5651. Prime factorization of 11302 in exponential form is:

11302 = 21 × 56511

Now multiplying the highest exponent prime factors to calculate the LCM of 11287 and 11302.

LCM(11287,11302) = 112871 × 21 × 56511
LCM(11287,11302) = 127565674