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What is the Least Common Multiple of 10538 and 10548?

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 10538 and 10548 is 55577412.

LCM(10538,10548) = 55577412

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Least Common Multiple of 10538 and 10548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10538 and 10548, than apply into the LCM equation.

GCF(10538,10548) = 2
LCM(10538,10548) = ( 10538 × 10548) / 2
LCM(10538,10548) = 111154824 / 2
LCM(10538,10548) = 55577412

Least Common Multiple (LCM) of 10538 and 10548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10538 and 10548. First we will calculate the prime factors of 10538 and 10548.

Prime Factorization of 10538

Prime factors of 10538 are 2, 11, 479. Prime factorization of 10538 in exponential form is:

10538 = 21 × 111 × 4791

Prime Factorization of 10548

Prime factors of 10548 are 2, 3, 293. Prime factorization of 10548 in exponential form is:

10548 = 22 × 32 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 10538 and 10548.

LCM(10538,10548) = 22 × 111 × 4791 × 32 × 2931
LCM(10538,10548) = 55577412