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What is the Least Common Multiple of 3828 and 3847?

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 3828 and 3847 is 14726316.

LCM(3828,3847) = 14726316

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Least Common Multiple of 3828 and 3847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3828 and 3847, than apply into the LCM equation.

GCF(3828,3847) = 1
LCM(3828,3847) = ( 3828 × 3847) / 1
LCM(3828,3847) = 14726316 / 1
LCM(3828,3847) = 14726316

Least Common Multiple (LCM) of 3828 and 3847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3828 and 3847. First we will calculate the prime factors of 3828 and 3847.

Prime Factorization of 3828

Prime factors of 3828 are 2, 3, 11, 29. Prime factorization of 3828 in exponential form is:

3828 = 22 × 31 × 111 × 291

Prime Factorization of 3847

Prime factors of 3847 are 3847. Prime factorization of 3847 in exponential form is:

3847 = 38471

Now multiplying the highest exponent prime factors to calculate the LCM of 3828 and 3847.

LCM(3828,3847) = 22 × 31 × 111 × 291 × 38471
LCM(3828,3847) = 14726316