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What is the Least Common Multiple of 67556 and 67571?

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 67556 and 67571 is 4564826476.

LCM(67556,67571) = 4564826476

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Least Common Multiple of 67556 and 67571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67556 and 67571, than apply into the LCM equation.

GCF(67556,67571) = 1
LCM(67556,67571) = ( 67556 × 67571) / 1
LCM(67556,67571) = 4564826476 / 1
LCM(67556,67571) = 4564826476

Least Common Multiple (LCM) of 67556 and 67571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67556 and 67571. First we will calculate the prime factors of 67556 and 67571.

Prime Factorization of 67556

Prime factors of 67556 are 2, 16889. Prime factorization of 67556 in exponential form is:

67556 = 22 × 168891

Prime Factorization of 67571

Prime factors of 67571 are 7, 197. Prime factorization of 67571 in exponential form is:

67571 = 73 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 67556 and 67571.

LCM(67556,67571) = 22 × 168891 × 73 × 1971
LCM(67556,67571) = 4564826476