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What is the Least Common Multiple of 88463 and 88482?

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 88463 and 88482 is 7827383166.

LCM(88463,88482) = 7827383166

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Least Common Multiple of 88463 and 88482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88463 and 88482, than apply into the LCM equation.

GCF(88463,88482) = 1
LCM(88463,88482) = ( 88463 × 88482) / 1
LCM(88463,88482) = 7827383166 / 1
LCM(88463,88482) = 7827383166

Least Common Multiple (LCM) of 88463 and 88482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88463 and 88482. First we will calculate the prime factors of 88463 and 88482.

Prime Factorization of 88463

Prime factors of 88463 are 88463. Prime factorization of 88463 in exponential form is:

88463 = 884631

Prime Factorization of 88482

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

88482 = 21 × 31 × 147471

Now multiplying the highest exponent prime factors to calculate the LCM of 88463 and 88482.

LCM(88463,88482) = 884631 × 21 × 31 × 147471
LCM(88463,88482) = 7827383166