What is the Least Common Multiple of 32823 and 32831?
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 32823 and 32831 is 1077611913.
LCM(32823,32831) = 1077611913
Least Common Multiple of 32823 and 32831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32823 and 32831, than apply into the LCM equation.
GCF(32823,32831) = 1
LCM(32823,32831) = ( 32823 × 32831) / 1
LCM(32823,32831) = 1077611913 / 1
LCM(32823,32831) = 1077611913
Least Common Multiple (LCM) of 32823 and 32831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32823 and 32831. First we will calculate the prime factors of 32823 and 32831.
Prime Factorization of 32823
Prime factors of 32823 are 3, 7, 521. Prime factorization of 32823 in exponential form is:
32823 = 32 × 71 × 5211
Prime Factorization of 32831
Prime factors of 32831 are 32831. Prime factorization of 32831 in exponential form is:
32831 = 328311
Now multiplying the highest exponent prime factors to calculate the LCM of 32823 and 32831.
LCM(32823,32831) = 32 × 71 × 5211 × 328311
LCM(32823,32831) = 1077611913
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