What is the Least Common Multiple of 98545 and 98558?
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 98545 and 98558 is 9712398110.
LCM(98545,98558) = 9712398110
Least Common Multiple of 98545 and 98558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98545 and 98558, than apply into the LCM equation.
GCF(98545,98558) = 1
LCM(98545,98558) = ( 98545 × 98558) / 1
LCM(98545,98558) = 9712398110 / 1
LCM(98545,98558) = 9712398110
Least Common Multiple (LCM) of 98545 and 98558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98545 and 98558. First we will calculate the prime factors of 98545 and 98558.
Prime Factorization of 98545
Prime factors of 98545 are 5, 19709. Prime factorization of 98545 in exponential form is:
98545 = 51 × 197091
Prime Factorization of 98558
Prime factors of 98558 are 2, 49279. Prime factorization of 98558 in exponential form is:
98558 = 21 × 492791
Now multiplying the highest exponent prime factors to calculate the LCM of 98545 and 98558.
LCM(98545,98558) = 51 × 197091 × 21 × 492791
LCM(98545,98558) = 9712398110
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