What is the Least Common Multiple of 98562 and 98569?
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 98562 and 98569 is 9715157778.
LCM(98562,98569) = 9715157778
Least Common Multiple of 98562 and 98569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98562 and 98569, than apply into the LCM equation.
GCF(98562,98569) = 1
LCM(98562,98569) = ( 98562 × 98569) / 1
LCM(98562,98569) = 9715157778 / 1
LCM(98562,98569) = 9715157778
Least Common Multiple (LCM) of 98562 and 98569 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98562 and 98569. First we will calculate the prime factors of 98562 and 98569.
Prime Factorization of 98562
Prime factors of 98562 are 2, 3, 16427. Prime factorization of 98562 in exponential form is:
98562 = 21 × 31 × 164271
Prime Factorization of 98569
Prime factors of 98569 are 241, 409. Prime factorization of 98569 in exponential form is:
98569 = 2411 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 98562 and 98569.
LCM(98562,98569) = 21 × 31 × 164271 × 2411 × 4091
LCM(98562,98569) = 9715157778
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