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What is the Least Common Multiple of 10545 and 10553?

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 10545 and 10553 is 111281385.

LCM(10545,10553) = 111281385

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Least Common Multiple of 10545 and 10553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10545 and 10553, than apply into the LCM equation.

GCF(10545,10553) = 1
LCM(10545,10553) = ( 10545 × 10553) / 1
LCM(10545,10553) = 111281385 / 1
LCM(10545,10553) = 111281385

Least Common Multiple (LCM) of 10545 and 10553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10545 and 10553. First we will calculate the prime factors of 10545 and 10553.

Prime Factorization of 10545

Prime factors of 10545 are 3, 5, 19, 37. Prime factorization of 10545 in exponential form is:

10545 = 31 × 51 × 191 × 371

Prime Factorization of 10553

Prime factors of 10553 are 61, 173. Prime factorization of 10553 in exponential form is:

10553 = 611 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 10545 and 10553.

LCM(10545,10553) = 31 × 51 × 191 × 371 × 611 × 1731
LCM(10545,10553) = 111281385