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What is the Least Common Multiple of 11298 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 11298 and 11302 is 63844998.

LCM(11298,11302) = 63844998

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Least Common Multiple of 11298 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 11298 and 11302, than apply into the LCM equation.

GCF(11298,11302) = 2
LCM(11298,11302) = ( 11298 × 11302) / 2
LCM(11298,11302) = 127689996 / 2
LCM(11298,11302) = 63844998

Least Common Multiple (LCM) of 11298 and 11302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11298 and 11302. First we will calculate the prime factors of 11298 and 11302.

Prime Factorization of 11298

Prime factors of 11298 are 2, 3, 7, 269. Prime factorization of 11298 in exponential form is:

11298 = 21 × 31 × 71 × 2691

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 11298 and 11302.

LCM(11298,11302) = 21 × 31 × 71 × 2691 × 56511
LCM(11298,11302) = 63844998