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What is the Least Common Multiple of 98699 and 98708?

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 98699 and 98708 is 9742380892.

LCM(98699,98708) = 9742380892

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Least Common Multiple of 98699 and 98708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98699 and 98708, than apply into the LCM equation.

GCF(98699,98708) = 1
LCM(98699,98708) = ( 98699 × 98708) / 1
LCM(98699,98708) = 9742380892 / 1
LCM(98699,98708) = 9742380892

Least Common Multiple (LCM) of 98699 and 98708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98699 and 98708. First we will calculate the prime factors of 98699 and 98708.

Prime Factorization of 98699

Prime factors of 98699 are 229, 431. Prime factorization of 98699 in exponential form is:

98699 = 2291 × 4311

Prime Factorization of 98708

Prime factors of 98708 are 2, 24677. Prime factorization of 98708 in exponential form is:

98708 = 22 × 246771

Now multiplying the highest exponent prime factors to calculate the LCM of 98699 and 98708.

LCM(98699,98708) = 2291 × 4311 × 22 × 246771
LCM(98699,98708) = 9742380892