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What is the Least Common Multiple of 793 and 810?

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 793 and 810 is 642330.

LCM(793,810) = 642330

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Least Common Multiple of 793 and 810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 793 and 810, than apply into the LCM equation.

GCF(793,810) = 1
LCM(793,810) = ( 793 × 810) / 1
LCM(793,810) = 642330 / 1
LCM(793,810) = 642330

Least Common Multiple (LCM) of 793 and 810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 793 and 810. First we will calculate the prime factors of 793 and 810.

Prime Factorization of 793

Prime factors of 793 are 13, 61. Prime factorization of 793 in exponential form is:

793 = 131 × 611

Prime Factorization of 810

Prime factors of 810 are 2, 3, 5. Prime factorization of 810 in exponential form is:

810 = 21 × 34 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 793 and 810.

LCM(793,810) = 131 × 611 × 21 × 34 × 51
LCM(793,810) = 642330