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What is the Least Common Multiple of 96853 and 96862?

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 96853 and 96862 is 9381375286.

LCM(96853,96862) = 9381375286

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Least Common Multiple of 96853 and 96862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96853 and 96862, than apply into the LCM equation.

GCF(96853,96862) = 1
LCM(96853,96862) = ( 96853 × 96862) / 1
LCM(96853,96862) = 9381375286 / 1
LCM(96853,96862) = 9381375286

Least Common Multiple (LCM) of 96853 and 96862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96853 and 96862. First we will calculate the prime factors of 96853 and 96862.

Prime Factorization of 96853

Prime factors of 96853 are 23, 4211. Prime factorization of 96853 in exponential form is:

96853 = 231 × 42111

Prime Factorization of 96862

Prime factors of 96862 are 2, 19, 2549. Prime factorization of 96862 in exponential form is:

96862 = 21 × 191 × 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 96853 and 96862.

LCM(96853,96862) = 231 × 42111 × 21 × 191 × 25491
LCM(96853,96862) = 9381375286