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What is the Least Common Multiple of 11201 and 11217?

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 11201 and 11217 is 125641617.

LCM(11201,11217) = 125641617

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Least Common Multiple of 11201 and 11217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11201 and 11217, than apply into the LCM equation.

GCF(11201,11217) = 1
LCM(11201,11217) = ( 11201 × 11217) / 1
LCM(11201,11217) = 125641617 / 1
LCM(11201,11217) = 125641617

Least Common Multiple (LCM) of 11201 and 11217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11201 and 11217. First we will calculate the prime factors of 11201 and 11217.

Prime Factorization of 11201

Prime factors of 11201 are 23, 487. Prime factorization of 11201 in exponential form is:

11201 = 231 × 4871

Prime Factorization of 11217

Prime factors of 11217 are 3, 3739. Prime factorization of 11217 in exponential form is:

11217 = 31 × 37391

Now multiplying the highest exponent prime factors to calculate the LCM of 11201 and 11217.

LCM(11201,11217) = 231 × 4871 × 31 × 37391
LCM(11201,11217) = 125641617