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What is the Least Common Multiple of 98856 and 98866?

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 98856 and 98866 is 4886748648.

LCM(98856,98866) = 4886748648

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Least Common Multiple of 98856 and 98866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98856 and 98866, than apply into the LCM equation.

GCF(98856,98866) = 2
LCM(98856,98866) = ( 98856 × 98866) / 2
LCM(98856,98866) = 9773497296 / 2
LCM(98856,98866) = 4886748648

Least Common Multiple (LCM) of 98856 and 98866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98856 and 98866. First we will calculate the prime factors of 98856 and 98866.

Prime Factorization of 98856

Prime factors of 98856 are 2, 3, 1373. Prime factorization of 98856 in exponential form is:

98856 = 23 × 32 × 13731

Prime Factorization of 98866

Prime factors of 98866 are 2, 49433. Prime factorization of 98866 in exponential form is:

98866 = 21 × 494331

Now multiplying the highest exponent prime factors to calculate the LCM of 98856 and 98866.

LCM(98856,98866) = 23 × 32 × 13731 × 494331
LCM(98856,98866) = 4886748648