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What is the Least Common Multiple of 3691 and 3696?

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 3691 and 3696 is 13641936.

LCM(3691,3696) = 13641936

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Least Common Multiple of 3691 and 3696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3691 and 3696, than apply into the LCM equation.

GCF(3691,3696) = 1
LCM(3691,3696) = ( 3691 × 3696) / 1
LCM(3691,3696) = 13641936 / 1
LCM(3691,3696) = 13641936

Least Common Multiple (LCM) of 3691 and 3696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3691 and 3696. First we will calculate the prime factors of 3691 and 3696.

Prime Factorization of 3691

Prime factors of 3691 are 3691. Prime factorization of 3691 in exponential form is:

3691 = 36911

Prime Factorization of 3696

Prime factors of 3696 are 2, 3, 7, 11. Prime factorization of 3696 in exponential form is:

3696 = 24 × 31 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 3691 and 3696.

LCM(3691,3696) = 36911 × 24 × 31 × 71 × 111
LCM(3691,3696) = 13641936