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What is the Least Common Multiple of 1691 and 1696?

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 1691 and 1696 is 2867936.

LCM(1691,1696) = 2867936

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Least Common Multiple of 1691 and 1696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1691 and 1696, than apply into the LCM equation.

GCF(1691,1696) = 1
LCM(1691,1696) = ( 1691 × 1696) / 1
LCM(1691,1696) = 2867936 / 1
LCM(1691,1696) = 2867936

Least Common Multiple (LCM) of 1691 and 1696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1691 and 1696. First we will calculate the prime factors of 1691 and 1696.

Prime Factorization of 1691

Prime factors of 1691 are 19, 89. Prime factorization of 1691 in exponential form is:

1691 = 191 × 891

Prime Factorization of 1696

Prime factors of 1696 are 2, 53. Prime factorization of 1696 in exponential form is:

1696 = 25 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 1691 and 1696.

LCM(1691,1696) = 191 × 891 × 25 × 531
LCM(1691,1696) = 2867936