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What is the Least Common Multiple of 11228 and 11241?

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 11241 is 126213948.

LCM(11228,11241) = 126213948

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Least Common Multiple of 11228 and 11241 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 11241, than apply into the LCM equation.

GCF(11228,11241) = 1
LCM(11228,11241) = ( 11228 × 11241) / 1
LCM(11228,11241) = 126213948 / 1
LCM(11228,11241) = 126213948

Least Common Multiple (LCM) of 11228 and 11241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11228 and 11241. First we will calculate the prime factors of 11228 and 11241.

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 11241

Prime factors of 11241 are 3, 1249. Prime factorization of 11241 in exponential form is:

11241 = 32 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 11228 and 11241.

LCM(11228,11241) = 22 × 71 × 4011 × 32 × 12491
LCM(11228,11241) = 126213948