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What is the Least Common Multiple of 88467 and 88473?

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 88467 and 88473 is 2608980297.

LCM(88467,88473) = 2608980297

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Least Common Multiple of 88467 and 88473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88467 and 88473, than apply into the LCM equation.

GCF(88467,88473) = 3
LCM(88467,88473) = ( 88467 × 88473) / 3
LCM(88467,88473) = 7826940891 / 3
LCM(88467,88473) = 2608980297

Least Common Multiple (LCM) of 88467 and 88473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88467 and 88473. First we will calculate the prime factors of 88467 and 88473.

Prime Factorization of 88467

Prime factors of 88467 are 3, 37, 797. Prime factorization of 88467 in exponential form is:

88467 = 31 × 371 × 7971

Prime Factorization of 88473

Prime factors of 88473 are 3, 7, 11, 383. Prime factorization of 88473 in exponential form is:

88473 = 31 × 71 × 111 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 88467 and 88473.

LCM(88467,88473) = 31 × 371 × 7971 × 71 × 111 × 3831
LCM(88467,88473) = 2608980297