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What is the Least Common Multiple of 83818 and 83836?

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 83818 and 83836 is 3513482924.

LCM(83818,83836) = 3513482924

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Least Common Multiple of 83818 and 83836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83818 and 83836, than apply into the LCM equation.

GCF(83818,83836) = 2
LCM(83818,83836) = ( 83818 × 83836) / 2
LCM(83818,83836) = 7026965848 / 2
LCM(83818,83836) = 3513482924

Least Common Multiple (LCM) of 83818 and 83836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83818 and 83836. First we will calculate the prime factors of 83818 and 83836.

Prime Factorization of 83818

Prime factors of 83818 are 2, 7, 5987. Prime factorization of 83818 in exponential form is:

83818 = 21 × 71 × 59871

Prime Factorization of 83836

Prime factors of 83836 are 2, 20959. Prime factorization of 83836 in exponential form is:

83836 = 22 × 209591

Now multiplying the highest exponent prime factors to calculate the LCM of 83818 and 83836.

LCM(83818,83836) = 22 × 71 × 59871 × 209591
LCM(83818,83836) = 3513482924