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What is the Least Common Multiple of 3812 and 3816?

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 3812 and 3816 is 3636648.

LCM(3812,3816) = 3636648

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Least Common Multiple of 3812 and 3816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3812 and 3816, than apply into the LCM equation.

GCF(3812,3816) = 4
LCM(3812,3816) = ( 3812 × 3816) / 4
LCM(3812,3816) = 14546592 / 4
LCM(3812,3816) = 3636648

Least Common Multiple (LCM) of 3812 and 3816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3812 and 3816. First we will calculate the prime factors of 3812 and 3816.

Prime Factorization of 3812

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

3812 = 22 × 9531

Prime Factorization of 3816

Prime factors of 3816 are 2, 3, 53. Prime factorization of 3816 in exponential form is:

3816 = 23 × 32 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3812 and 3816.

LCM(3812,3816) = 23 × 9531 × 32 × 531
LCM(3812,3816) = 3636648