What is the Least Common Multiple of 98559 and 98579?
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 98559 and 98579 is 9715847661.
LCM(98559,98579) = 9715847661
Least Common Multiple of 98559 and 98579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98559 and 98579, than apply into the LCM equation.
GCF(98559,98579) = 1
LCM(98559,98579) = ( 98559 × 98579) / 1
LCM(98559,98579) = 9715847661 / 1
LCM(98559,98579) = 9715847661
Least Common Multiple (LCM) of 98559 and 98579 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98559 and 98579. First we will calculate the prime factors of 98559 and 98579.
Prime Factorization of 98559
Prime factors of 98559 are 3, 47, 233. Prime factorization of 98559 in exponential form is:
98559 = 32 × 471 × 2331
Prime Factorization of 98579
Prime factors of 98579 are 13, 7583. Prime factorization of 98579 in exponential form is:
98579 = 131 × 75831
Now multiplying the highest exponent prime factors to calculate the LCM of 98559 and 98579.
LCM(98559,98579) = 32 × 471 × 2331 × 131 × 75831
LCM(98559,98579) = 9715847661
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