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What is the Least Common Multiple of 91483 and 91488?

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 91483 and 91488 is 8369596704.

LCM(91483,91488) = 8369596704

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Least Common Multiple of 91483 and 91488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91483 and 91488, than apply into the LCM equation.

GCF(91483,91488) = 1
LCM(91483,91488) = ( 91483 × 91488) / 1
LCM(91483,91488) = 8369596704 / 1
LCM(91483,91488) = 8369596704

Least Common Multiple (LCM) of 91483 and 91488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91483 and 91488. First we will calculate the prime factors of 91483 and 91488.

Prime Factorization of 91483

Prime factors of 91483 are 7, 1867. Prime factorization of 91483 in exponential form is:

91483 = 72 × 18671

Prime Factorization of 91488

Prime factors of 91488 are 2, 3, 953. Prime factorization of 91488 in exponential form is:

91488 = 25 × 31 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 91483 and 91488.

LCM(91483,91488) = 72 × 18671 × 25 × 31 × 9531
LCM(91483,91488) = 8369596704