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What is the Least Common Multiple of 10549 and 10569?

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 10549 and 10569 is 111492381.

LCM(10549,10569) = 111492381

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Least Common Multiple of 10549 and 10569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10549 and 10569, than apply into the LCM equation.

GCF(10549,10569) = 1
LCM(10549,10569) = ( 10549 × 10569) / 1
LCM(10549,10569) = 111492381 / 1
LCM(10549,10569) = 111492381

Least Common Multiple (LCM) of 10549 and 10569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10549 and 10569. First we will calculate the prime factors of 10549 and 10569.

Prime Factorization of 10549

Prime factors of 10549 are 7, 11, 137. Prime factorization of 10549 in exponential form is:

10549 = 71 × 111 × 1371

Prime Factorization of 10569

Prime factors of 10569 are 3, 13, 271. Prime factorization of 10569 in exponential form is:

10569 = 31 × 131 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 10549 and 10569.

LCM(10549,10569) = 71 × 111 × 1371 × 31 × 131 × 2711
LCM(10549,10569) = 111492381