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What is the Least Common Multiple of 98471 and 98483?

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 98471 and 98483 is 9697719493.

LCM(98471,98483) = 9697719493

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Least Common Multiple of 98471 and 98483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98471 and 98483, than apply into the LCM equation.

GCF(98471,98483) = 1
LCM(98471,98483) = ( 98471 × 98483) / 1
LCM(98471,98483) = 9697719493 / 1
LCM(98471,98483) = 9697719493

Least Common Multiple (LCM) of 98471 and 98483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98471 and 98483. First we will calculate the prime factors of 98471 and 98483.

Prime Factorization of 98471

Prime factors of 98471 are 59, 1669. Prime factorization of 98471 in exponential form is:

98471 = 591 × 16691

Prime Factorization of 98483

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

98483 = 71 × 111 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 98471 and 98483.

LCM(98471,98483) = 591 × 16691 × 71 × 111 × 12791
LCM(98471,98483) = 9697719493