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What is the Least Common Multiple of 88482 and 88491?

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 88482 and 88491 is 2609953554.

LCM(88482,88491) = 2609953554

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Least Common Multiple of 88482 and 88491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88482 and 88491, than apply into the LCM equation.

GCF(88482,88491) = 3
LCM(88482,88491) = ( 88482 × 88491) / 3
LCM(88482,88491) = 7829860662 / 3
LCM(88482,88491) = 2609953554

Least Common Multiple (LCM) of 88482 and 88491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88482 and 88491. First we will calculate the prime factors of 88482 and 88491.

Prime Factorization of 88482

Prime factors of 88482 are 2, 3, 14747. Prime factorization of 88482 in exponential form is:

88482 = 21 × 31 × 147471

Prime Factorization of 88491

Prime factors of 88491 are 3, 13, 2269. Prime factorization of 88491 in exponential form is:

88491 = 31 × 131 × 22691

Now multiplying the highest exponent prime factors to calculate the LCM of 88482 and 88491.

LCM(88482,88491) = 21 × 31 × 147471 × 131 × 22691
LCM(88482,88491) = 2609953554