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What is the Least Common Multiple of 3812 and 3818?

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 3818 is 7277108.

LCM(3812,3818) = 7277108

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Least Common Multiple of 3812 and 3818 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 3818, than apply into the LCM equation.

GCF(3812,3818) = 2
LCM(3812,3818) = ( 3812 × 3818) / 2
LCM(3812,3818) = 14554216 / 2
LCM(3812,3818) = 7277108

Least Common Multiple (LCM) of 3812 and 3818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3812 and 3818. First we will calculate the prime factors of 3812 and 3818.

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 3818

Prime factors of 3818 are 2, 23, 83. Prime factorization of 3818 in exponential form is:

3818 = 21 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 3812 and 3818.

LCM(3812,3818) = 22 × 9531 × 231 × 831
LCM(3812,3818) = 7277108