What is the Least Common Multiple of 81910 and 81927?
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 81910 and 81927 is 6710640570.
LCM(81910,81927) = 6710640570
Least Common Multiple of 81910 and 81927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81910 and 81927, than apply into the LCM equation.
GCF(81910,81927) = 1
LCM(81910,81927) = ( 81910 × 81927) / 1
LCM(81910,81927) = 6710640570 / 1
LCM(81910,81927) = 6710640570
Least Common Multiple (LCM) of 81910 and 81927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81910 and 81927. First we will calculate the prime factors of 81910 and 81927.
Prime Factorization of 81910
Prime factors of 81910 are 2, 5, 8191. Prime factorization of 81910 in exponential form is:
81910 = 21 × 51 × 81911
Prime Factorization of 81927
Prime factors of 81927 are 3, 9103. Prime factorization of 81927 in exponential form is:
81927 = 32 × 91031
Now multiplying the highest exponent prime factors to calculate the LCM of 81910 and 81927.
LCM(81910,81927) = 21 × 51 × 81911 × 32 × 91031
LCM(81910,81927) = 6710640570
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