What is the Least Common Multiple of 98691 and 98695?
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 98691 and 98695 is 9740308245.
LCM(98691,98695) = 9740308245
Least Common Multiple of 98691 and 98695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98691 and 98695, than apply into the LCM equation.
GCF(98691,98695) = 1
LCM(98691,98695) = ( 98691 × 98695) / 1
LCM(98691,98695) = 9740308245 / 1
LCM(98691,98695) = 9740308245
Least Common Multiple (LCM) of 98691 and 98695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98691 and 98695. First we will calculate the prime factors of 98691 and 98695.
Prime Factorization of 98691
Prime factors of 98691 are 3, 67, 491. Prime factorization of 98691 in exponential form is:
98691 = 31 × 671 × 4911
Prime Factorization of 98695
Prime factors of 98695 are 5, 19739. Prime factorization of 98695 in exponential form is:
98695 = 51 × 197391
Now multiplying the highest exponent prime factors to calculate the LCM of 98691 and 98695.
LCM(98691,98695) = 31 × 671 × 4911 × 51 × 197391
LCM(98691,98695) = 9740308245
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