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What is the Least Common Multiple of 3716 and 3728?

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 3716 and 3728 is 3463312.

LCM(3716,3728) = 3463312

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Least Common Multiple of 3716 and 3728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3716 and 3728, than apply into the LCM equation.

GCF(3716,3728) = 4
LCM(3716,3728) = ( 3716 × 3728) / 4
LCM(3716,3728) = 13853248 / 4
LCM(3716,3728) = 3463312

Least Common Multiple (LCM) of 3716 and 3728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3716 and 3728. First we will calculate the prime factors of 3716 and 3728.

Prime Factorization of 3716

Prime factors of 3716 are 2, 929. Prime factorization of 3716 in exponential form is:

3716 = 22 × 9291

Prime Factorization of 3728

Prime factors of 3728 are 2, 233. Prime factorization of 3728 in exponential form is:

3728 = 24 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3716 and 3728.

LCM(3716,3728) = 24 × 9291 × 2331
LCM(3716,3728) = 3463312