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What is the Least Common Multiple of 11302 and 11318?

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 11302 and 11318 is 63958018.

LCM(11302,11318) = 63958018

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Least Common Multiple of 11302 and 11318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11302 and 11318, than apply into the LCM equation.

GCF(11302,11318) = 2
LCM(11302,11318) = ( 11302 × 11318) / 2
LCM(11302,11318) = 127916036 / 2
LCM(11302,11318) = 63958018

Least Common Multiple (LCM) of 11302 and 11318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11302 and 11318. First we will calculate the prime factors of 11302 and 11318.

Prime Factorization of 11302

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

11302 = 21 × 56511

Prime Factorization of 11318

Prime factors of 11318 are 2, 5659. Prime factorization of 11318 in exponential form is:

11318 = 21 × 56591

Now multiplying the highest exponent prime factors to calculate the LCM of 11302 and 11318.

LCM(11302,11318) = 21 × 56511 × 56591
LCM(11302,11318) = 63958018