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What is the Least Common Multiple of 69887 and 69895?

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 69887 and 69895 is 4884751865.

LCM(69887,69895) = 4884751865

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Least Common Multiple of 69887 and 69895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69887 and 69895, than apply into the LCM equation.

GCF(69887,69895) = 1
LCM(69887,69895) = ( 69887 × 69895) / 1
LCM(69887,69895) = 4884751865 / 1
LCM(69887,69895) = 4884751865

Least Common Multiple (LCM) of 69887 and 69895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69887 and 69895. First we will calculate the prime factors of 69887 and 69895.

Prime Factorization of 69887

Prime factors of 69887 are 17, 4111. Prime factorization of 69887 in exponential form is:

69887 = 171 × 41111

Prime Factorization of 69895

Prime factors of 69895 are 5, 7, 1997. Prime factorization of 69895 in exponential form is:

69895 = 51 × 71 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 69887 and 69895.

LCM(69887,69895) = 171 × 41111 × 51 × 71 × 19971
LCM(69887,69895) = 4884751865