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What is the Least Common Multiple of 2787 and 2798?

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 2787 and 2798 is 7798026.

LCM(2787,2798) = 7798026

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Least Common Multiple of 2787 and 2798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2787 and 2798, than apply into the LCM equation.

GCF(2787,2798) = 1
LCM(2787,2798) = ( 2787 × 2798) / 1
LCM(2787,2798) = 7798026 / 1
LCM(2787,2798) = 7798026

Least Common Multiple (LCM) of 2787 and 2798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2787 and 2798. First we will calculate the prime factors of 2787 and 2798.

Prime Factorization of 2787

Prime factors of 2787 are 3, 929. Prime factorization of 2787 in exponential form is:

2787 = 31 × 9291

Prime Factorization of 2798

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

2798 = 21 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 2787 and 2798.

LCM(2787,2798) = 31 × 9291 × 21 × 13991
LCM(2787,2798) = 7798026