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What is the Least Common Multiple of 2847 and 2857?

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 2847 and 2857 is 8133879.

LCM(2847,2857) = 8133879

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Least Common Multiple of 2847 and 2857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2847 and 2857, than apply into the LCM equation.

GCF(2847,2857) = 1
LCM(2847,2857) = ( 2847 × 2857) / 1
LCM(2847,2857) = 8133879 / 1
LCM(2847,2857) = 8133879

Least Common Multiple (LCM) of 2847 and 2857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2847 and 2857. First we will calculate the prime factors of 2847 and 2857.

Prime Factorization of 2847

Prime factors of 2847 are 3, 13, 73. Prime factorization of 2847 in exponential form is:

2847 = 31 × 131 × 731

Prime Factorization of 2857

Prime factors of 2857 are 2857. Prime factorization of 2857 in exponential form is:

2857 = 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 2847 and 2857.

LCM(2847,2857) = 31 × 131 × 731 × 28571
LCM(2847,2857) = 8133879