What is the Least Common Multiple of 98558 and 98574?
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 98558 and 98574 is 4857628146.
LCM(98558,98574) = 4857628146
Least Common Multiple of 98558 and 98574 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98558 and 98574, than apply into the LCM equation.
GCF(98558,98574) = 2
LCM(98558,98574) = ( 98558 × 98574) / 2
LCM(98558,98574) = 9715256292 / 2
LCM(98558,98574) = 4857628146
Least Common Multiple (LCM) of 98558 and 98574 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98558 and 98574. First we will calculate the prime factors of 98558 and 98574.
Prime Factorization of 98558
Prime factors of 98558 are 2, 49279. Prime factorization of 98558 in exponential form is:
98558 = 21 × 492791
Prime Factorization of 98574
Prime factors of 98574 are 2, 3, 7, 2347. Prime factorization of 98574 in exponential form is:
98574 = 21 × 31 × 71 × 23471
Now multiplying the highest exponent prime factors to calculate the LCM of 98558 and 98574.
LCM(98558,98574) = 21 × 492791 × 31 × 71 × 23471
LCM(98558,98574) = 4857628146
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