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What is the Least Common Multiple of 11222 and 11228?

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 11222 and 11228 is 63000308.

LCM(11222,11228) = 63000308

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Least Common Multiple of 11222 and 11228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11222 and 11228, than apply into the LCM equation.

GCF(11222,11228) = 2
LCM(11222,11228) = ( 11222 × 11228) / 2
LCM(11222,11228) = 126000616 / 2
LCM(11222,11228) = 63000308

Least Common Multiple (LCM) of 11222 and 11228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11222 and 11228. First we will calculate the prime factors of 11222 and 11228.

Prime Factorization of 11222

Prime factors of 11222 are 2, 31, 181. Prime factorization of 11222 in exponential form is:

11222 = 21 × 311 × 1811

Prime Factorization of 11228

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

11228 = 22 × 71 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 11222 and 11228.

LCM(11222,11228) = 22 × 311 × 1811 × 71 × 4011
LCM(11222,11228) = 63000308