What is the Least Common Multiple of 98246 and 98253?
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 98246 and 98253 is 9652964238.
LCM(98246,98253) = 9652964238
Least Common Multiple of 98246 and 98253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98246 and 98253, than apply into the LCM equation.
GCF(98246,98253) = 1
LCM(98246,98253) = ( 98246 × 98253) / 1
LCM(98246,98253) = 9652964238 / 1
LCM(98246,98253) = 9652964238
Least Common Multiple (LCM) of 98246 and 98253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98246 and 98253. First we will calculate the prime factors of 98246 and 98253.
Prime Factorization of 98246
Prime factors of 98246 are 2, 49123. Prime factorization of 98246 in exponential form is:
98246 = 21 × 491231
Prime Factorization of 98253
Prime factors of 98253 are 3, 1213. Prime factorization of 98253 in exponential form is:
98253 = 34 × 12131
Now multiplying the highest exponent prime factors to calculate the LCM of 98246 and 98253.
LCM(98246,98253) = 21 × 491231 × 34 × 12131
LCM(98246,98253) = 9652964238
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