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What is the Least Common Multiple of 91836 and 91846?

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 91836 and 91846 is 4217384628.

LCM(91836,91846) = 4217384628

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Least Common Multiple of 91836 and 91846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91836 and 91846, than apply into the LCM equation.

GCF(91836,91846) = 2
LCM(91836,91846) = ( 91836 × 91846) / 2
LCM(91836,91846) = 8434769256 / 2
LCM(91836,91846) = 4217384628

Least Common Multiple (LCM) of 91836 and 91846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91836 and 91846. First we will calculate the prime factors of 91836 and 91846.

Prime Factorization of 91836

Prime factors of 91836 are 2, 3, 2551. Prime factorization of 91836 in exponential form is:

91836 = 22 × 32 × 25511

Prime Factorization of 91846

Prime factors of 91846 are 2, 19, 2417. Prime factorization of 91846 in exponential form is:

91846 = 21 × 191 × 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 91836 and 91846.

LCM(91836,91846) = 22 × 32 × 25511 × 191 × 24171
LCM(91836,91846) = 4217384628