What is the Least Common Multiple of 98163 and 98168?
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 98163 and 98168 is 9636465384.
LCM(98163,98168) = 9636465384
Least Common Multiple of 98163 and 98168 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98163 and 98168, than apply into the LCM equation.
GCF(98163,98168) = 1
LCM(98163,98168) = ( 98163 × 98168) / 1
LCM(98163,98168) = 9636465384 / 1
LCM(98163,98168) = 9636465384
Least Common Multiple (LCM) of 98163 and 98168 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98163 and 98168. First we will calculate the prime factors of 98163 and 98168.
Prime Factorization of 98163
Prime factors of 98163 are 3, 13, 839. Prime factorization of 98163 in exponential form is:
98163 = 32 × 131 × 8391
Prime Factorization of 98168
Prime factors of 98168 are 2, 7, 1753. Prime factorization of 98168 in exponential form is:
98168 = 23 × 71 × 17531
Now multiplying the highest exponent prime factors to calculate the LCM of 98163 and 98168.
LCM(98163,98168) = 32 × 131 × 8391 × 23 × 71 × 17531
LCM(98163,98168) = 9636465384
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