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What is the Least Common Multiple of 88449 and 88466?

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 88449 and 88466 is 7824729234.

LCM(88449,88466) = 7824729234

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Least Common Multiple of 88449 and 88466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88449 and 88466, than apply into the LCM equation.

GCF(88449,88466) = 1
LCM(88449,88466) = ( 88449 × 88466) / 1
LCM(88449,88466) = 7824729234 / 1
LCM(88449,88466) = 7824729234

Least Common Multiple (LCM) of 88449 and 88466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88449 and 88466. First we will calculate the prime factors of 88449 and 88466.

Prime Factorization of 88449

Prime factors of 88449 are 3, 29483. Prime factorization of 88449 in exponential form is:

88449 = 31 × 294831

Prime Factorization of 88466

Prime factors of 88466 are 2, 7, 71, 89. Prime factorization of 88466 in exponential form is:

88466 = 21 × 71 × 711 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 88449 and 88466.

LCM(88449,88466) = 31 × 294831 × 21 × 71 × 711 × 891
LCM(88449,88466) = 7824729234