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What is the Least Common Multiple of 88865 and 88869?

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 88869 is 7897343685.

LCM(88865,88869) = 7897343685

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Least Common Multiple of 88865 and 88869 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 88869, than apply into the LCM equation.

GCF(88865,88869) = 1
LCM(88865,88869) = ( 88865 × 88869) / 1
LCM(88865,88869) = 7897343685 / 1
LCM(88865,88869) = 7897343685

Least Common Multiple (LCM) of 88865 and 88869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88865 and 88869. First we will calculate the prime factors of 88865 and 88869.

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 88869

Prime factors of 88869 are 3, 11, 2693. Prime factorization of 88869 in exponential form is:

88869 = 31 × 111 × 26931

Now multiplying the highest exponent prime factors to calculate the LCM of 88865 and 88869.

LCM(88865,88869) = 51 × 71 × 25391 × 31 × 111 × 26931
LCM(88865,88869) = 7897343685