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What is the Least Common Multiple of 11037 and 11055?

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 11037 and 11055 is 40671345.

LCM(11037,11055) = 40671345

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Least Common Multiple of 11037 and 11055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11037 and 11055, than apply into the LCM equation.

GCF(11037,11055) = 3
LCM(11037,11055) = ( 11037 × 11055) / 3
LCM(11037,11055) = 122014035 / 3
LCM(11037,11055) = 40671345

Least Common Multiple (LCM) of 11037 and 11055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11037 and 11055. First we will calculate the prime factors of 11037 and 11055.

Prime Factorization of 11037

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

11037 = 31 × 131 × 2831

Prime Factorization of 11055

Prime factors of 11055 are 3, 5, 11, 67. Prime factorization of 11055 in exponential form is:

11055 = 31 × 51 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 11037 and 11055.

LCM(11037,11055) = 31 × 131 × 2831 × 51 × 111 × 671
LCM(11037,11055) = 40671345