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What is the Least Common Multiple of 23555 and 23571?

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 23555 and 23571 is 555214905.

LCM(23555,23571) = 555214905

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Least Common Multiple of 23555 and 23571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23555 and 23571, than apply into the LCM equation.

GCF(23555,23571) = 1
LCM(23555,23571) = ( 23555 × 23571) / 1
LCM(23555,23571) = 555214905 / 1
LCM(23555,23571) = 555214905

Least Common Multiple (LCM) of 23555 and 23571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23555 and 23571. First we will calculate the prime factors of 23555 and 23571.

Prime Factorization of 23555

Prime factors of 23555 are 5, 7, 673. Prime factorization of 23555 in exponential form is:

23555 = 51 × 71 × 6731

Prime Factorization of 23571

Prime factors of 23571 are 3, 97. Prime factorization of 23571 in exponential form is:

23571 = 35 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 23555 and 23571.

LCM(23555,23571) = 51 × 71 × 6731 × 35 × 971
LCM(23555,23571) = 555214905