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What is the Least Common Multiple of 81818 and 81822?

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 81818 and 81822 is 3347256198.

LCM(81818,81822) = 3347256198

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Least Common Multiple of 81818 and 81822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81818 and 81822, than apply into the LCM equation.

GCF(81818,81822) = 2
LCM(81818,81822) = ( 81818 × 81822) / 2
LCM(81818,81822) = 6694512396 / 2
LCM(81818,81822) = 3347256198

Least Common Multiple (LCM) of 81818 and 81822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81818 and 81822. First we will calculate the prime factors of 81818 and 81822.

Prime Factorization of 81818

Prime factors of 81818 are 2, 11, 3719. Prime factorization of 81818 in exponential form is:

81818 = 21 × 111 × 37191

Prime Factorization of 81822

Prime factors of 81822 are 2, 3, 13, 1049. Prime factorization of 81822 in exponential form is:

81822 = 21 × 31 × 131 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 81818 and 81822.

LCM(81818,81822) = 21 × 111 × 37191 × 31 × 131 × 10491
LCM(81818,81822) = 3347256198