What is the Least Common Multiple of 98385 and 98393?
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 98385 and 98393 is 9680395305.
LCM(98385,98393) = 9680395305
Least Common Multiple of 98385 and 98393 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98385 and 98393, than apply into the LCM equation.
GCF(98385,98393) = 1
LCM(98385,98393) = ( 98385 × 98393) / 1
LCM(98385,98393) = 9680395305 / 1
LCM(98385,98393) = 9680395305
Least Common Multiple (LCM) of 98385 and 98393 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98385 and 98393. First we will calculate the prime factors of 98385 and 98393.
Prime Factorization of 98385
Prime factors of 98385 are 3, 5, 7, 937. Prime factorization of 98385 in exponential form is:
98385 = 31 × 51 × 71 × 9371
Prime Factorization of 98393
Prime factors of 98393 are 61, 1613. Prime factorization of 98393 in exponential form is:
98393 = 611 × 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 98385 and 98393.
LCM(98385,98393) = 31 × 51 × 71 × 9371 × 611 × 16131
LCM(98385,98393) = 9680395305
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