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What is the Least Common Multiple of 2889 and 2897?

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 2889 and 2897 is 8369433.

LCM(2889,2897) = 8369433

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Least Common Multiple of 2889 and 2897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2889 and 2897, than apply into the LCM equation.

GCF(2889,2897) = 1
LCM(2889,2897) = ( 2889 × 2897) / 1
LCM(2889,2897) = 8369433 / 1
LCM(2889,2897) = 8369433

Least Common Multiple (LCM) of 2889 and 2897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2889 and 2897. First we will calculate the prime factors of 2889 and 2897.

Prime Factorization of 2889

Prime factors of 2889 are 3, 107. Prime factorization of 2889 in exponential form is:

2889 = 33 × 1071

Prime Factorization of 2897

Prime factors of 2897 are 2897. Prime factorization of 2897 in exponential form is:

2897 = 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 2889 and 2897.

LCM(2889,2897) = 33 × 1071 × 28971
LCM(2889,2897) = 8369433