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What is the Least Common Multiple of 88865 and 88882?

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 88865 and 88882 is 7898498930.

LCM(88865,88882) = 7898498930

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Least Common Multiple of 88865 and 88882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88865 and 88882, than apply into the LCM equation.

GCF(88865,88882) = 1
LCM(88865,88882) = ( 88865 × 88882) / 1
LCM(88865,88882) = 7898498930 / 1
LCM(88865,88882) = 7898498930

Least Common Multiple (LCM) of 88865 and 88882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88865 and 88882. First we will calculate the prime factors of 88865 and 88882.

Prime Factorization of 88865

Prime factors of 88865 are 5, 7, 2539. Prime factorization of 88865 in exponential form is:

88865 = 51 × 71 × 25391

Prime Factorization of 88882

Prime factors of 88882 are 2, 19, 2339. Prime factorization of 88882 in exponential form is:

88882 = 21 × 191 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 88865 and 88882.

LCM(88865,88882) = 51 × 71 × 25391 × 21 × 191 × 23391
LCM(88865,88882) = 7898498930