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What is the Least Common Multiple of 55573 and 55579?

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 55573 and 55579 is 3088691767.

LCM(55573,55579) = 3088691767

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Least Common Multiple of 55573 and 55579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55573 and 55579, than apply into the LCM equation.

GCF(55573,55579) = 1
LCM(55573,55579) = ( 55573 × 55579) / 1
LCM(55573,55579) = 3088691767 / 1
LCM(55573,55579) = 3088691767

Least Common Multiple (LCM) of 55573 and 55579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55573 and 55579. First we will calculate the prime factors of 55573 and 55579.

Prime Factorization of 55573

Prime factors of 55573 are 7, 17, 467. Prime factorization of 55573 in exponential form is:

55573 = 71 × 171 × 4671

Prime Factorization of 55579

Prime factors of 55579 are 55579. Prime factorization of 55579 in exponential form is:

55579 = 555791

Now multiplying the highest exponent prime factors to calculate the LCM of 55573 and 55579.

LCM(55573,55579) = 71 × 171 × 4671 × 555791
LCM(55573,55579) = 3088691767