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What is the Least Common Multiple of 1812 and 1816?

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 1812 and 1816 is 822648.

LCM(1812,1816) = 822648

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Least Common Multiple of 1812 and 1816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1812 and 1816, than apply into the LCM equation.

GCF(1812,1816) = 4
LCM(1812,1816) = ( 1812 × 1816) / 4
LCM(1812,1816) = 3290592 / 4
LCM(1812,1816) = 822648

Least Common Multiple (LCM) of 1812 and 1816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1816. First we will calculate the prime factors of 1812 and 1816.

Prime Factorization of 1812

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

1812 = 22 × 31 × 1511

Prime Factorization of 1816

Prime factors of 1816 are 2, 227. Prime factorization of 1816 in exponential form is:

1816 = 23 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1812 and 1816.

LCM(1812,1816) = 23 × 31 × 1511 × 2271
LCM(1812,1816) = 822648