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What is the Least Common Multiple of 1667 and 1687?

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 1667 and 1687 is 2812229.

LCM(1667,1687) = 2812229

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Least Common Multiple of 1667 and 1687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1667 and 1687, than apply into the LCM equation.

GCF(1667,1687) = 1
LCM(1667,1687) = ( 1667 × 1687) / 1
LCM(1667,1687) = 2812229 / 1
LCM(1667,1687) = 2812229

Least Common Multiple (LCM) of 1667 and 1687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1667 and 1687. First we will calculate the prime factors of 1667 and 1687.

Prime Factorization of 1667

Prime factors of 1667 are 1667. Prime factorization of 1667 in exponential form is:

1667 = 16671

Prime Factorization of 1687

Prime factors of 1687 are 7, 241. Prime factorization of 1687 in exponential form is:

1687 = 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 1667 and 1687.

LCM(1667,1687) = 16671 × 71 × 2411
LCM(1667,1687) = 2812229