What is the Least Common Multiple of 98682 and 98699?
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 98682 and 98699 is 9739814718.
LCM(98682,98699) = 9739814718
Least Common Multiple of 98682 and 98699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98682 and 98699, than apply into the LCM equation.
GCF(98682,98699) = 1
LCM(98682,98699) = ( 98682 × 98699) / 1
LCM(98682,98699) = 9739814718 / 1
LCM(98682,98699) = 9739814718
Least Common Multiple (LCM) of 98682 and 98699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98682 and 98699. First we will calculate the prime factors of 98682 and 98699.
Prime Factorization of 98682
Prime factors of 98682 are 2, 3, 16447. Prime factorization of 98682 in exponential form is:
98682 = 21 × 31 × 164471
Prime Factorization of 98699
Prime factors of 98699 are 229, 431. Prime factorization of 98699 in exponential form is:
98699 = 2291 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 98682 and 98699.
LCM(98682,98699) = 21 × 31 × 164471 × 2291 × 4311
LCM(98682,98699) = 9739814718
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