What is the Least Common Multiple of 98687 and 98691?
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 98691 is 9739518717.
LCM(98687,98691) = 9739518717
Least Common Multiple of 98687 and 98691 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 98691, than apply into the LCM equation.
GCF(98687,98691) = 1
LCM(98687,98691) = ( 98687 × 98691) / 1
LCM(98687,98691) = 9739518717 / 1
LCM(98687,98691) = 9739518717
Least Common Multiple (LCM) of 98687 and 98691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98687 and 98691. First we will calculate the prime factors of 98687 and 98691.
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 98691
Prime factors of 98691 are 3, 67, 491. Prime factorization of 98691 in exponential form is:
98691 = 31 × 671 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 98687 and 98691.
LCM(98687,98691) = 291 × 411 × 831 × 31 × 671 × 4911
LCM(98687,98691) = 9739518717
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