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What is the Least Common Multiple of 3827 and 3844?

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 3827 and 3844 is 14710988.

LCM(3827,3844) = 14710988

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Least Common Multiple of 3827 and 3844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3827 and 3844, than apply into the LCM equation.

GCF(3827,3844) = 1
LCM(3827,3844) = ( 3827 × 3844) / 1
LCM(3827,3844) = 14710988 / 1
LCM(3827,3844) = 14710988

Least Common Multiple (LCM) of 3827 and 3844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3827 and 3844. First we will calculate the prime factors of 3827 and 3844.

Prime Factorization of 3827

Prime factors of 3827 are 43, 89. Prime factorization of 3827 in exponential form is:

3827 = 431 × 891

Prime Factorization of 3844

Prime factors of 3844 are 2, 31. Prime factorization of 3844 in exponential form is:

3844 = 22 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 3827 and 3844.

LCM(3827,3844) = 431 × 891 × 22 × 312
LCM(3827,3844) = 14710988