What is the Least Common Multiple of 98443 and 98455?
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 98443 and 98455 is 9692205565.
LCM(98443,98455) = 9692205565
Least Common Multiple of 98443 and 98455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98443 and 98455, than apply into the LCM equation.
GCF(98443,98455) = 1
LCM(98443,98455) = ( 98443 × 98455) / 1
LCM(98443,98455) = 9692205565 / 1
LCM(98443,98455) = 9692205565
Least Common Multiple (LCM) of 98443 and 98455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98443 and 98455. First we will calculate the prime factors of 98443 and 98455.
Prime Factorization of 98443
Prime factors of 98443 are 98443. Prime factorization of 98443 in exponential form is:
98443 = 984431
Prime Factorization of 98455
Prime factors of 98455 are 5, 7, 29, 97. Prime factorization of 98455 in exponential form is:
98455 = 51 × 71 × 291 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 98443 and 98455.
LCM(98443,98455) = 984431 × 51 × 71 × 291 × 971
LCM(98443,98455) = 9692205565
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