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What is the Least Common Multiple of 10546 and 10555?

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 10546 and 10555 is 111313030.

LCM(10546,10555) = 111313030

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Least Common Multiple of 10546 and 10555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10546 and 10555, than apply into the LCM equation.

GCF(10546,10555) = 1
LCM(10546,10555) = ( 10546 × 10555) / 1
LCM(10546,10555) = 111313030 / 1
LCM(10546,10555) = 111313030

Least Common Multiple (LCM) of 10546 and 10555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10546 and 10555. First we will calculate the prime factors of 10546 and 10555.

Prime Factorization of 10546

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

10546 = 21 × 52731

Prime Factorization of 10555

Prime factors of 10555 are 5, 2111. Prime factorization of 10555 in exponential form is:

10555 = 51 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 10546 and 10555.

LCM(10546,10555) = 21 × 52731 × 51 × 21111
LCM(10546,10555) = 111313030