What is the Least Common Multiple of 82193 and 82207?
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 82193 and 82207 is 6756839951.
LCM(82193,82207) = 6756839951
Least Common Multiple of 82193 and 82207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82193 and 82207, than apply into the LCM equation.
GCF(82193,82207) = 1
LCM(82193,82207) = ( 82193 × 82207) / 1
LCM(82193,82207) = 6756839951 / 1
LCM(82193,82207) = 6756839951
Least Common Multiple (LCM) of 82193 and 82207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82193 and 82207. First we will calculate the prime factors of 82193 and 82207.
Prime Factorization of 82193
Prime factors of 82193 are 82193. Prime factorization of 82193 in exponential form is:
82193 = 821931
Prime Factorization of 82207
Prime factors of 82207 are 82207. Prime factorization of 82207 in exponential form is:
82207 = 822071
Now multiplying the highest exponent prime factors to calculate the LCM of 82193 and 82207.
LCM(82193,82207) = 821931 × 822071
LCM(82193,82207) = 6756839951
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