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What is the Least Common Multiple of 91585 and 91597?

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 91585 and 91597 is 8388911245.

LCM(91585,91597) = 8388911245

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Least Common Multiple of 91585 and 91597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91585 and 91597, than apply into the LCM equation.

GCF(91585,91597) = 1
LCM(91585,91597) = ( 91585 × 91597) / 1
LCM(91585,91597) = 8388911245 / 1
LCM(91585,91597) = 8388911245

Least Common Multiple (LCM) of 91585 and 91597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91585 and 91597. First we will calculate the prime factors of 91585 and 91597.

Prime Factorization of 91585

Prime factors of 91585 are 5, 13, 1409. Prime factorization of 91585 in exponential form is:

91585 = 51 × 131 × 14091

Prime Factorization of 91597

Prime factors of 91597 are 11, 757. Prime factorization of 91597 in exponential form is:

91597 = 112 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 91585 and 91597.

LCM(91585,91597) = 51 × 131 × 14091 × 112 × 7571
LCM(91585,91597) = 8388911245