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What is the Least Common Multiple of 1793 and 1807?

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 1793 and 1807 is 3239951.

LCM(1793,1807) = 3239951

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Least Common Multiple of 1793 and 1807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1793 and 1807, than apply into the LCM equation.

GCF(1793,1807) = 1
LCM(1793,1807) = ( 1793 × 1807) / 1
LCM(1793,1807) = 3239951 / 1
LCM(1793,1807) = 3239951

Least Common Multiple (LCM) of 1793 and 1807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1793 and 1807. First we will calculate the prime factors of 1793 and 1807.

Prime Factorization of 1793

Prime factors of 1793 are 11, 163. Prime factorization of 1793 in exponential form is:

1793 = 111 × 1631

Prime Factorization of 1807

Prime factors of 1807 are 13, 139. Prime factorization of 1807 in exponential form is:

1807 = 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1793 and 1807.

LCM(1793,1807) = 111 × 1631 × 131 × 1391
LCM(1793,1807) = 3239951