What is the Least Common Multiple of 81247 and 81266?
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 81247 and 81266 is 6602618702.
LCM(81247,81266) = 6602618702
Least Common Multiple of 81247 and 81266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81247 and 81266, than apply into the LCM equation.
GCF(81247,81266) = 1
LCM(81247,81266) = ( 81247 × 81266) / 1
LCM(81247,81266) = 6602618702 / 1
LCM(81247,81266) = 6602618702
Least Common Multiple (LCM) of 81247 and 81266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81247 and 81266. First we will calculate the prime factors of 81247 and 81266.
Prime Factorization of 81247
Prime factors of 81247 are 113, 719. Prime factorization of 81247 in exponential form is:
81247 = 1131 × 7191
Prime Factorization of 81266
Prime factors of 81266 are 2, 179, 227. Prime factorization of 81266 in exponential form is:
81266 = 21 × 1791 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 81247 and 81266.
LCM(81247,81266) = 1131 × 7191 × 21 × 1791 × 2271
LCM(81247,81266) = 6602618702
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