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What is the Least Common Multiple of 96887 and 96898?

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 96887 and 96898 is 9388156526.

LCM(96887,96898) = 9388156526

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Least Common Multiple of 96887 and 96898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96887 and 96898, than apply into the LCM equation.

GCF(96887,96898) = 1
LCM(96887,96898) = ( 96887 × 96898) / 1
LCM(96887,96898) = 9388156526 / 1
LCM(96887,96898) = 9388156526

Least Common Multiple (LCM) of 96887 and 96898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96887 and 96898. First we will calculate the prime factors of 96887 and 96898.

Prime Factorization of 96887

Prime factors of 96887 are 7, 13841. Prime factorization of 96887 in exponential form is:

96887 = 71 × 138411

Prime Factorization of 96898

Prime factors of 96898 are 2, 48449. Prime factorization of 96898 in exponential form is:

96898 = 21 × 484491

Now multiplying the highest exponent prime factors to calculate the LCM of 96887 and 96898.

LCM(96887,96898) = 71 × 138411 × 21 × 484491
LCM(96887,96898) = 9388156526