What is the Least Common Multiple of 98181 and 98201?
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 98181 and 98201 is 9641472381.
LCM(98181,98201) = 9641472381
Least Common Multiple of 98181 and 98201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98181 and 98201, than apply into the LCM equation.
GCF(98181,98201) = 1
LCM(98181,98201) = ( 98181 × 98201) / 1
LCM(98181,98201) = 9641472381 / 1
LCM(98181,98201) = 9641472381
Least Common Multiple (LCM) of 98181 and 98201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98181 and 98201. First we will calculate the prime factors of 98181 and 98201.
Prime Factorization of 98181
Prime factors of 98181 are 3, 10909. Prime factorization of 98181 in exponential form is:
98181 = 32 × 109091
Prime Factorization of 98201
Prime factors of 98201 are 283, 347. Prime factorization of 98201 in exponential form is:
98201 = 2831 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 98181 and 98201.
LCM(98181,98201) = 32 × 109091 × 2831 × 3471
LCM(98181,98201) = 9641472381
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