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What is the Least Common Multiple of 94553 and 94571?

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 94553 and 94571 is 8941971763.

LCM(94553,94571) = 8941971763

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Least Common Multiple of 94553 and 94571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94553 and 94571, than apply into the LCM equation.

GCF(94553,94571) = 1
LCM(94553,94571) = ( 94553 × 94571) / 1
LCM(94553,94571) = 8941971763 / 1
LCM(94553,94571) = 8941971763

Least Common Multiple (LCM) of 94553 and 94571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94553 and 94571. First we will calculate the prime factors of 94553 and 94571.

Prime Factorization of 94553

Prime factors of 94553 are 23, 4111. Prime factorization of 94553 in exponential form is:

94553 = 231 × 41111

Prime Factorization of 94571

Prime factors of 94571 are 17, 5563. Prime factorization of 94571 in exponential form is:

94571 = 171 × 55631

Now multiplying the highest exponent prime factors to calculate the LCM of 94553 and 94571.

LCM(94553,94571) = 231 × 41111 × 171 × 55631
LCM(94553,94571) = 8941971763