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What is the Least Common Multiple of 91821 and 91835?

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 91821 and 91835 is 8432381535.

LCM(91821,91835) = 8432381535

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Least Common Multiple of 91821 and 91835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91821 and 91835, than apply into the LCM equation.

GCF(91821,91835) = 1
LCM(91821,91835) = ( 91821 × 91835) / 1
LCM(91821,91835) = 8432381535 / 1
LCM(91821,91835) = 8432381535

Least Common Multiple (LCM) of 91821 and 91835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91821 and 91835. First we will calculate the prime factors of 91821 and 91835.

Prime Factorization of 91821

Prime factors of 91821 are 3, 127, 241. Prime factorization of 91821 in exponential form is:

91821 = 31 × 1271 × 2411

Prime Factorization of 91835

Prime factors of 91835 are 5, 18367. Prime factorization of 91835 in exponential form is:

91835 = 51 × 183671

Now multiplying the highest exponent prime factors to calculate the LCM of 91821 and 91835.

LCM(91821,91835) = 31 × 1271 × 2411 × 51 × 183671
LCM(91821,91835) = 8432381535