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What is the Least Common Multiple of 1797 and 1815?

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 1797 and 1815 is 1087185.

LCM(1797,1815) = 1087185

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Least Common Multiple of 1797 and 1815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1797 and 1815, than apply into the LCM equation.

GCF(1797,1815) = 3
LCM(1797,1815) = ( 1797 × 1815) / 3
LCM(1797,1815) = 3261555 / 3
LCM(1797,1815) = 1087185

Least Common Multiple (LCM) of 1797 and 1815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1797 and 1815. First we will calculate the prime factors of 1797 and 1815.

Prime Factorization of 1797

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

1797 = 31 × 5991

Prime Factorization of 1815

Prime factors of 1815 are 3, 5, 11. Prime factorization of 1815 in exponential form is:

1815 = 31 × 51 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 1797 and 1815.

LCM(1797,1815) = 31 × 5991 × 51 × 112
LCM(1797,1815) = 1087185