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What is the Least Common Multiple of 10534 and 10546?

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 10534 and 10546 is 55545782.

LCM(10534,10546) = 55545782

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Least Common Multiple of 10534 and 10546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10534 and 10546, than apply into the LCM equation.

GCF(10534,10546) = 2
LCM(10534,10546) = ( 10534 × 10546) / 2
LCM(10534,10546) = 111091564 / 2
LCM(10534,10546) = 55545782

Least Common Multiple (LCM) of 10534 and 10546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10534 and 10546. First we will calculate the prime factors of 10534 and 10546.

Prime Factorization of 10534

Prime factors of 10534 are 2, 23, 229. Prime factorization of 10534 in exponential form is:

10534 = 21 × 231 × 2291

Prime Factorization of 10546

Prime factors of 10546 are 2, 5273. Prime factorization of 10546 in exponential form is:

10546 = 21 × 52731

Now multiplying the highest exponent prime factors to calculate the LCM of 10534 and 10546.

LCM(10534,10546) = 21 × 231 × 2291 × 52731
LCM(10534,10546) = 55545782