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What is the Least Common Multiple of 88483 and 88498?

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 88483 and 88498 is 7830568534.

LCM(88483,88498) = 7830568534

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Least Common Multiple of 88483 and 88498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88483 and 88498, than apply into the LCM equation.

GCF(88483,88498) = 1
LCM(88483,88498) = ( 88483 × 88498) / 1
LCM(88483,88498) = 7830568534 / 1
LCM(88483,88498) = 7830568534

Least Common Multiple (LCM) of 88483 and 88498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88483 and 88498. First we will calculate the prime factors of 88483 and 88498.

Prime Factorization of 88483

Prime factors of 88483 are 19, 4657. Prime factorization of 88483 in exponential form is:

88483 = 191 × 46571

Prime Factorization of 88498

Prime factors of 88498 are 2, 44249. Prime factorization of 88498 in exponential form is:

88498 = 21 × 442491

Now multiplying the highest exponent prime factors to calculate the LCM of 88483 and 88498.

LCM(88483,88498) = 191 × 46571 × 21 × 442491
LCM(88483,88498) = 7830568534