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What is the Least Common Multiple of 98687 and 98700?

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 98687 and 98700 is 9740406900.

LCM(98687,98700) = 9740406900

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Least Common Multiple of 98687 and 98700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98687 and 98700, than apply into the LCM equation.

GCF(98687,98700) = 1
LCM(98687,98700) = ( 98687 × 98700) / 1
LCM(98687,98700) = 9740406900 / 1
LCM(98687,98700) = 9740406900

Least Common Multiple (LCM) of 98687 and 98700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98687 and 98700. First we will calculate the prime factors of 98687 and 98700.

Prime Factorization of 98687

Prime factors of 98687 are 29, 41, 83. Prime factorization of 98687 in exponential form is:

98687 = 291 × 411 × 831

Prime Factorization of 98700

Prime factors of 98700 are 2, 3, 5, 7, 47. Prime factorization of 98700 in exponential form is:

98700 = 22 × 31 × 52 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 98687 and 98700.

LCM(98687,98700) = 291 × 411 × 831 × 22 × 31 × 52 × 71 × 471
LCM(98687,98700) = 9740406900