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What is the Least Common Multiple of 2798 and 2810?

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 2798 and 2810 is 3931190.

LCM(2798,2810) = 3931190

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Least Common Multiple of 2798 and 2810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2798 and 2810, than apply into the LCM equation.

GCF(2798,2810) = 2
LCM(2798,2810) = ( 2798 × 2810) / 2
LCM(2798,2810) = 7862380 / 2
LCM(2798,2810) = 3931190

Least Common Multiple (LCM) of 2798 and 2810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2798 and 2810. First we will calculate the prime factors of 2798 and 2810.

Prime Factorization of 2798

Prime factors of 2798 are 2, 1399. Prime factorization of 2798 in exponential form is:

2798 = 21 × 13991

Prime Factorization of 2810

Prime factors of 2810 are 2, 5, 281. Prime factorization of 2810 in exponential form is:

2810 = 21 × 51 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 2798 and 2810.

LCM(2798,2810) = 21 × 13991 × 51 × 2811
LCM(2798,2810) = 3931190