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What is the Least Common Multiple of 11017 and 11037?

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 11017 and 11037 is 121594629.

LCM(11017,11037) = 121594629

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Least Common Multiple of 11017 and 11037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11017 and 11037, than apply into the LCM equation.

GCF(11017,11037) = 1
LCM(11017,11037) = ( 11017 × 11037) / 1
LCM(11017,11037) = 121594629 / 1
LCM(11017,11037) = 121594629

Least Common Multiple (LCM) of 11017 and 11037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11017 and 11037. First we will calculate the prime factors of 11017 and 11037.

Prime Factorization of 11017

Prime factors of 11017 are 23, 479. Prime factorization of 11017 in exponential form is:

11017 = 231 × 4791

Prime Factorization of 11037

Prime factors of 11037 are 3, 13, 283. Prime factorization of 11037 in exponential form is:

11037 = 31 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 11017 and 11037.

LCM(11017,11037) = 231 × 4791 × 31 × 131 × 2831
LCM(11017,11037) = 121594629