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What is the Least Common Multiple of 98483 and 98494?

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 98483 and 98494 is 881816782.

LCM(98483,98494) = 881816782

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Least Common Multiple of 98483 and 98494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98483 and 98494, than apply into the LCM equation.

GCF(98483,98494) = 11
LCM(98483,98494) = ( 98483 × 98494) / 11
LCM(98483,98494) = 9699984602 / 11
LCM(98483,98494) = 881816782

Least Common Multiple (LCM) of 98483 and 98494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98483 and 98494. First we will calculate the prime factors of 98483 and 98494.

Prime Factorization of 98483

Prime factors of 98483 are 7, 11, 1279. Prime factorization of 98483 in exponential form is:

98483 = 71 × 111 × 12791

Prime Factorization of 98494

Prime factors of 98494 are 2, 11, 37. Prime factorization of 98494 in exponential form is:

98494 = 21 × 113 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 98483 and 98494.

LCM(98483,98494) = 71 × 113 × 12791 × 21 × 371
LCM(98483,98494) = 881816782