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What is the Least Common Multiple of 11229 and 11237?

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 11229 and 11237 is 126180273.

LCM(11229,11237) = 126180273

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Least Common Multiple of 11229 and 11237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11229 and 11237, than apply into the LCM equation.

GCF(11229,11237) = 1
LCM(11229,11237) = ( 11229 × 11237) / 1
LCM(11229,11237) = 126180273 / 1
LCM(11229,11237) = 126180273

Least Common Multiple (LCM) of 11229 and 11237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11229 and 11237. First we will calculate the prime factors of 11229 and 11237.

Prime Factorization of 11229

Prime factors of 11229 are 3, 19, 197. Prime factorization of 11229 in exponential form is:

11229 = 31 × 191 × 1971

Prime Factorization of 11237

Prime factors of 11237 are 17, 661. Prime factorization of 11237 in exponential form is:

11237 = 171 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 11229 and 11237.

LCM(11229,11237) = 31 × 191 × 1971 × 171 × 6611
LCM(11229,11237) = 126180273