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What is the Least Common Multiple of 3816 and 3822?

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 3816 and 3822 is 2430792.

LCM(3816,3822) = 2430792

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Least Common Multiple of 3816 and 3822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3816 and 3822, than apply into the LCM equation.

GCF(3816,3822) = 6
LCM(3816,3822) = ( 3816 × 3822) / 6
LCM(3816,3822) = 14584752 / 6
LCM(3816,3822) = 2430792

Least Common Multiple (LCM) of 3816 and 3822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3816 and 3822. First we will calculate the prime factors of 3816 and 3822.

Prime Factorization of 3816

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

3816 = 23 × 32 × 531

Prime Factorization of 3822

Prime factors of 3822 are 2, 3, 7, 13. Prime factorization of 3822 in exponential form is:

3822 = 21 × 31 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3816 and 3822.

LCM(3816,3822) = 23 × 32 × 531 × 72 × 131
LCM(3816,3822) = 2430792