What is the Least Common Multiple of 98558 and 98566?
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 98566 is 4857233914.
LCM(98558,98566) = 4857233914
Least Common Multiple of 98558 and 98566 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 98566, than apply into the LCM equation.
GCF(98558,98566) = 2
LCM(98558,98566) = ( 98558 × 98566) / 2
LCM(98558,98566) = 9714467828 / 2
LCM(98558,98566) = 4857233914
Least Common Multiple (LCM) of 98558 and 98566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98558 and 98566. First we will calculate the prime factors of 98558 and 98566.
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 98566
Prime factors of 98566 are 2, 13, 17, 223. Prime factorization of 98566 in exponential form is:
98566 = 21 × 131 × 171 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 98558 and 98566.
LCM(98558,98566) = 21 × 492791 × 131 × 171 × 2231
LCM(98558,98566) = 4857233914
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