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What is the Least Common Multiple of 3806 and 3812?

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 3806 and 3812 is 7254236.

LCM(3806,3812) = 7254236

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Least Common Multiple of 3806 and 3812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3806 and 3812, than apply into the LCM equation.

GCF(3806,3812) = 2
LCM(3806,3812) = ( 3806 × 3812) / 2
LCM(3806,3812) = 14508472 / 2
LCM(3806,3812) = 7254236

Least Common Multiple (LCM) of 3806 and 3812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3806 and 3812. First we will calculate the prime factors of 3806 and 3812.

Prime Factorization of 3806

Prime factors of 3806 are 2, 11, 173. Prime factorization of 3806 in exponential form is:

3806 = 21 × 111 × 1731

Prime Factorization of 3812

Prime factors of 3812 are 2, 953. Prime factorization of 3812 in exponential form is:

3812 = 22 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 3806 and 3812.

LCM(3806,3812) = 22 × 111 × 1731 × 9531
LCM(3806,3812) = 7254236