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What is the Least Common Multiple of 91605 and 91609?

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 91605 and 91609 is 8391842445.

LCM(91605,91609) = 8391842445

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Least Common Multiple of 91605 and 91609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91605 and 91609, than apply into the LCM equation.

GCF(91605,91609) = 1
LCM(91605,91609) = ( 91605 × 91609) / 1
LCM(91605,91609) = 8391842445 / 1
LCM(91605,91609) = 8391842445

Least Common Multiple (LCM) of 91605 and 91609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91605 and 91609. First we will calculate the prime factors of 91605 and 91609.

Prime Factorization of 91605

Prime factors of 91605 are 3, 5, 31, 197. Prime factorization of 91605 in exponential form is:

91605 = 31 × 51 × 311 × 1971

Prime Factorization of 91609

Prime factors of 91609 are 7, 23, 569. Prime factorization of 91609 in exponential form is:

91609 = 71 × 231 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 91605 and 91609.

LCM(91605,91609) = 31 × 51 × 311 × 1971 × 71 × 231 × 5691
LCM(91605,91609) = 8391842445