What is the Least Common Multiple of 98553 and 98559?
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 98553 and 98559 is 3237761709.
LCM(98553,98559) = 3237761709
Least Common Multiple of 98553 and 98559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98553 and 98559, than apply into the LCM equation.
GCF(98553,98559) = 3
LCM(98553,98559) = ( 98553 × 98559) / 3
LCM(98553,98559) = 9713285127 / 3
LCM(98553,98559) = 3237761709
Least Common Multiple (LCM) of 98553 and 98559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98553 and 98559. First we will calculate the prime factors of 98553 and 98559.
Prime Factorization of 98553
Prime factors of 98553 are 3, 7, 13, 19. Prime factorization of 98553 in exponential form is:
98553 = 31 × 71 × 131 × 192
Prime Factorization of 98559
Prime factors of 98559 are 3, 47, 233. Prime factorization of 98559 in exponential form is:
98559 = 32 × 471 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 98553 and 98559.
LCM(98553,98559) = 32 × 71 × 131 × 192 × 471 × 2331
LCM(98553,98559) = 3237761709
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