What is the Least Common Multiple of 99554 and 99563?
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 99554 and 99563 is 9911894902.
LCM(99554,99563) = 9911894902
Least Common Multiple of 99554 and 99563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99554 and 99563, than apply into the LCM equation.
GCF(99554,99563) = 1
LCM(99554,99563) = ( 99554 × 99563) / 1
LCM(99554,99563) = 9911894902 / 1
LCM(99554,99563) = 9911894902
Least Common Multiple (LCM) of 99554 and 99563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99554 and 99563. First we will calculate the prime factors of 99554 and 99563.
Prime Factorization of 99554
Prime factors of 99554 are 2, 7, 13, 547. Prime factorization of 99554 in exponential form is:
99554 = 21 × 71 × 131 × 5471
Prime Factorization of 99563
Prime factors of 99563 are 99563. Prime factorization of 99563 in exponential form is:
99563 = 995631
Now multiplying the highest exponent prime factors to calculate the LCM of 99554 and 99563.
LCM(99554,99563) = 21 × 71 × 131 × 5471 × 995631
LCM(99554,99563) = 9911894902
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