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What is the Least Common Multiple of 1807 and 1812?

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 1807 and 1812 is 3274284.

LCM(1807,1812) = 3274284

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Least Common Multiple of 1807 and 1812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1807 and 1812, than apply into the LCM equation.

GCF(1807,1812) = 1
LCM(1807,1812) = ( 1807 × 1812) / 1
LCM(1807,1812) = 3274284 / 1
LCM(1807,1812) = 3274284

Least Common Multiple (LCM) of 1807 and 1812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1807 and 1812. First we will calculate the prime factors of 1807 and 1812.

Prime Factorization of 1807

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

1807 = 131 × 1391

Prime Factorization of 1812

Prime factors of 1812 are 2, 3, 151. Prime factorization of 1812 in exponential form is:

1812 = 22 × 31 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1807 and 1812.

LCM(1807,1812) = 131 × 1391 × 22 × 31 × 1511
LCM(1807,1812) = 3274284