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What is the Least Common Multiple of 91805 and 91821?

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 91805 and 91821 is 8429626905.

LCM(91805,91821) = 8429626905

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Least Common Multiple of 91805 and 91821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91805 and 91821, than apply into the LCM equation.

GCF(91805,91821) = 1
LCM(91805,91821) = ( 91805 × 91821) / 1
LCM(91805,91821) = 8429626905 / 1
LCM(91805,91821) = 8429626905

Least Common Multiple (LCM) of 91805 and 91821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91805 and 91821. First we will calculate the prime factors of 91805 and 91821.

Prime Factorization of 91805

Prime factors of 91805 are 5, 7, 43, 61. Prime factorization of 91805 in exponential form is:

91805 = 51 × 71 × 431 × 611

Prime Factorization of 91821

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

91821 = 31 × 1271 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 91805 and 91821.

LCM(91805,91821) = 51 × 71 × 431 × 611 × 31 × 1271 × 2411
LCM(91805,91821) = 8429626905