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What is the Least Common Multiple of 2789 and 2793?

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 2789 and 2793 is 7789677.

LCM(2789,2793) = 7789677

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Least Common Multiple of 2789 and 2793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2789 and 2793, than apply into the LCM equation.

GCF(2789,2793) = 1
LCM(2789,2793) = ( 2789 × 2793) / 1
LCM(2789,2793) = 7789677 / 1
LCM(2789,2793) = 7789677

Least Common Multiple (LCM) of 2789 and 2793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2789 and 2793. First we will calculate the prime factors of 2789 and 2793.

Prime Factorization of 2789

Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:

2789 = 27891

Prime Factorization of 2793

Prime factors of 2793 are 3, 7, 19. Prime factorization of 2793 in exponential form is:

2793 = 31 × 72 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 2789 and 2793.

LCM(2789,2793) = 27891 × 31 × 72 × 191
LCM(2789,2793) = 7789677