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What is the Least Common Multiple of 55541 and 55545?

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 55541 and 55545 is 3085024845.

LCM(55541,55545) = 3085024845

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Least Common Multiple of 55541 and 55545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55541 and 55545, than apply into the LCM equation.

GCF(55541,55545) = 1
LCM(55541,55545) = ( 55541 × 55545) / 1
LCM(55541,55545) = 3085024845 / 1
LCM(55541,55545) = 3085024845

Least Common Multiple (LCM) of 55541 and 55545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55541 and 55545. First we will calculate the prime factors of 55541 and 55545.

Prime Factorization of 55541

Prime factors of 55541 are 55541. Prime factorization of 55541 in exponential form is:

55541 = 555411

Prime Factorization of 55545

Prime factors of 55545 are 3, 5, 7, 23. Prime factorization of 55545 in exponential form is:

55545 = 31 × 51 × 71 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 55541 and 55545.

LCM(55541,55545) = 555411 × 31 × 51 × 71 × 232
LCM(55541,55545) = 3085024845