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What is the Least Common Multiple of 2842 and 2861?

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 2842 and 2861 is 8130962.

LCM(2842,2861) = 8130962

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Least Common Multiple of 2842 and 2861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2842 and 2861, than apply into the LCM equation.

GCF(2842,2861) = 1
LCM(2842,2861) = ( 2842 × 2861) / 1
LCM(2842,2861) = 8130962 / 1
LCM(2842,2861) = 8130962

Least Common Multiple (LCM) of 2842 and 2861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2842 and 2861. First we will calculate the prime factors of 2842 and 2861.

Prime Factorization of 2842

Prime factors of 2842 are 2, 7, 29. Prime factorization of 2842 in exponential form is:

2842 = 21 × 72 × 291

Prime Factorization of 2861

Prime factors of 2861 are 2861. Prime factorization of 2861 in exponential form is:

2861 = 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 2842 and 2861.

LCM(2842,2861) = 21 × 72 × 291 × 28611
LCM(2842,2861) = 8130962