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What is the Least Common Multiple of 11228 and 11246?

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 11228 and 11246 is 63135044.

LCM(11228,11246) = 63135044

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Least Common Multiple of 11228 and 11246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11228 and 11246, than apply into the LCM equation.

GCF(11228,11246) = 2
LCM(11228,11246) = ( 11228 × 11246) / 2
LCM(11228,11246) = 126270088 / 2
LCM(11228,11246) = 63135044

Least Common Multiple (LCM) of 11228 and 11246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11228 and 11246. First we will calculate the prime factors of 11228 and 11246.

Prime Factorization of 11228

Prime factors of 11228 are 2, 7, 401. Prime factorization of 11228 in exponential form is:

11228 = 22 × 71 × 4011

Prime Factorization of 11246

Prime factors of 11246 are 2, 5623. Prime factorization of 11246 in exponential form is:

11246 = 21 × 56231

Now multiplying the highest exponent prime factors to calculate the LCM of 11228 and 11246.

LCM(11228,11246) = 22 × 71 × 4011 × 56231
LCM(11228,11246) = 63135044