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What is the Least Common Multiple of 95560 and 95571?

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 95560 and 95571 is 9132764760.

LCM(95560,95571) = 9132764760

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Least Common Multiple of 95560 and 95571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95560 and 95571, than apply into the LCM equation.

GCF(95560,95571) = 1
LCM(95560,95571) = ( 95560 × 95571) / 1
LCM(95560,95571) = 9132764760 / 1
LCM(95560,95571) = 9132764760

Least Common Multiple (LCM) of 95560 and 95571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95560 and 95571. First we will calculate the prime factors of 95560 and 95571.

Prime Factorization of 95560

Prime factors of 95560 are 2, 5, 2389. Prime factorization of 95560 in exponential form is:

95560 = 23 × 51 × 23891

Prime Factorization of 95571

Prime factors of 95571 are 3, 7, 37, 41. Prime factorization of 95571 in exponential form is:

95571 = 32 × 71 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 95560 and 95571.

LCM(95560,95571) = 23 × 51 × 23891 × 32 × 71 × 371 × 411
LCM(95560,95571) = 9132764760