What is the Least Common Multiple of 98281 and 98285?
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 98281 and 98285 is 9659548085.
LCM(98281,98285) = 9659548085
Least Common Multiple of 98281 and 98285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98281 and 98285, than apply into the LCM equation.
GCF(98281,98285) = 1
LCM(98281,98285) = ( 98281 × 98285) / 1
LCM(98281,98285) = 9659548085 / 1
LCM(98281,98285) = 9659548085
Least Common Multiple (LCM) of 98281 and 98285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98281 and 98285. First we will calculate the prime factors of 98281 and 98285.
Prime Factorization of 98281
Prime factors of 98281 are 29, 3389. Prime factorization of 98281 in exponential form is:
98281 = 291 × 33891
Prime Factorization of 98285
Prime factors of 98285 are 5, 11, 1787. Prime factorization of 98285 in exponential form is:
98285 = 51 × 111 × 17871
Now multiplying the highest exponent prime factors to calculate the LCM of 98281 and 98285.
LCM(98281,98285) = 291 × 33891 × 51 × 111 × 17871
LCM(98281,98285) = 9659548085
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