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What is the Least Common Multiple of 88887 and 88905?

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 88887 and 88905 is 2634166245.

LCM(88887,88905) = 2634166245

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Least Common Multiple of 88887 and 88905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88887 and 88905, than apply into the LCM equation.

GCF(88887,88905) = 3
LCM(88887,88905) = ( 88887 × 88905) / 3
LCM(88887,88905) = 7902498735 / 3
LCM(88887,88905) = 2634166245

Least Common Multiple (LCM) of 88887 and 88905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88887 and 88905. First we will calculate the prime factors of 88887 and 88905.

Prime Factorization of 88887

Prime factors of 88887 are 3, 29629. Prime factorization of 88887 in exponential form is:

88887 = 31 × 296291

Prime Factorization of 88905

Prime factors of 88905 are 3, 5, 5927. Prime factorization of 88905 in exponential form is:

88905 = 31 × 51 × 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 88887 and 88905.

LCM(88887,88905) = 31 × 296291 × 51 × 59271
LCM(88887,88905) = 2634166245