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What is the Least Common Multiple of 91840 and 91849?

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 91840 and 91849 is 8435412160.

LCM(91840,91849) = 8435412160

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Least Common Multiple of 91840 and 91849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91840 and 91849, than apply into the LCM equation.

GCF(91840,91849) = 1
LCM(91840,91849) = ( 91840 × 91849) / 1
LCM(91840,91849) = 8435412160 / 1
LCM(91840,91849) = 8435412160

Least Common Multiple (LCM) of 91840 and 91849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91840 and 91849. First we will calculate the prime factors of 91840 and 91849.

Prime Factorization of 91840

Prime factors of 91840 are 2, 5, 7, 41. Prime factorization of 91840 in exponential form is:

91840 = 26 × 51 × 71 × 411

Prime Factorization of 91849

Prime factors of 91849 are 53, 1733. Prime factorization of 91849 in exponential form is:

91849 = 531 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 91840 and 91849.

LCM(91840,91849) = 26 × 51 × 71 × 411 × 531 × 17331
LCM(91840,91849) = 8435412160