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What is the Least Common Multiple of 1791 and 1797?

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 1791 and 1797 is 1072809.

LCM(1791,1797) = 1072809

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Least Common Multiple of 1791 and 1797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1791 and 1797, than apply into the LCM equation.

GCF(1791,1797) = 3
LCM(1791,1797) = ( 1791 × 1797) / 3
LCM(1791,1797) = 3218427 / 3
LCM(1791,1797) = 1072809

Least Common Multiple (LCM) of 1791 and 1797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1791 and 1797. First we will calculate the prime factors of 1791 and 1797.

Prime Factorization of 1791

Prime factors of 1791 are 3, 199. Prime factorization of 1791 in exponential form is:

1791 = 32 × 1991

Prime Factorization of 1797

Prime factors of 1797 are 3, 599. Prime factorization of 1797 in exponential form is:

1797 = 31 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 1791 and 1797.

LCM(1791,1797) = 32 × 1991 × 5991
LCM(1791,1797) = 1072809