What is the Least Common Multiple of 32423 and 32442?
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 32423 and 32442 is 1051866966.
LCM(32423,32442) = 1051866966
Least Common Multiple of 32423 and 32442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32423 and 32442, than apply into the LCM equation.
GCF(32423,32442) = 1
LCM(32423,32442) = ( 32423 × 32442) / 1
LCM(32423,32442) = 1051866966 / 1
LCM(32423,32442) = 1051866966
Least Common Multiple (LCM) of 32423 and 32442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32423 and 32442. First we will calculate the prime factors of 32423 and 32442.
Prime Factorization of 32423
Prime factors of 32423 are 32423. Prime factorization of 32423 in exponential form is:
32423 = 324231
Prime Factorization of 32442
Prime factors of 32442 are 2, 3, 5407. Prime factorization of 32442 in exponential form is:
32442 = 21 × 31 × 54071
Now multiplying the highest exponent prime factors to calculate the LCM of 32423 and 32442.
LCM(32423,32442) = 324231 × 21 × 31 × 54071
LCM(32423,32442) = 1051866966
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