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What is the Least Common Multiple of 41563 and 41573?

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 41563 and 41573 is 1727898599.

LCM(41563,41573) = 1727898599

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Least Common Multiple of 41563 and 41573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41563 and 41573, than apply into the LCM equation.

GCF(41563,41573) = 1
LCM(41563,41573) = ( 41563 × 41573) / 1
LCM(41563,41573) = 1727898599 / 1
LCM(41563,41573) = 1727898599

Least Common Multiple (LCM) of 41563 and 41573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41563 and 41573. First we will calculate the prime factors of 41563 and 41573.

Prime Factorization of 41563

Prime factors of 41563 are 89, 467. Prime factorization of 41563 in exponential form is:

41563 = 891 × 4671

Prime Factorization of 41573

Prime factors of 41573 are 7, 5939. Prime factorization of 41573 in exponential form is:

41573 = 71 × 59391

Now multiplying the highest exponent prime factors to calculate the LCM of 41563 and 41573.

LCM(41563,41573) = 891 × 4671 × 71 × 59391
LCM(41563,41573) = 1727898599