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What is the Least Common Multiple of 94871 and 94891?

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 94871 and 94891 is 9002404061.

LCM(94871,94891) = 9002404061

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Least Common Multiple of 94871 and 94891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94871 and 94891, than apply into the LCM equation.

GCF(94871,94891) = 1
LCM(94871,94891) = ( 94871 × 94891) / 1
LCM(94871,94891) = 9002404061 / 1
LCM(94871,94891) = 9002404061

Least Common Multiple (LCM) of 94871 and 94891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94871 and 94891. First we will calculate the prime factors of 94871 and 94891.

Prime Factorization of 94871

Prime factors of 94871 are 7, 13553. Prime factorization of 94871 in exponential form is:

94871 = 71 × 135531

Prime Factorization of 94891

Prime factors of 94891 are 31, 3061. Prime factorization of 94891 in exponential form is:

94891 = 311 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 94871 and 94891.

LCM(94871,94891) = 71 × 135531 × 311 × 30611
LCM(94871,94891) = 9002404061