What is the Least Common Multiple of 32933 and 32938?
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 32933 and 32938 is 1084747154.
LCM(32933,32938) = 1084747154
Least Common Multiple of 32933 and 32938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32933 and 32938, than apply into the LCM equation.
GCF(32933,32938) = 1
LCM(32933,32938) = ( 32933 × 32938) / 1
LCM(32933,32938) = 1084747154 / 1
LCM(32933,32938) = 1084747154
Least Common Multiple (LCM) of 32933 and 32938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32933 and 32938. First we will calculate the prime factors of 32933 and 32938.
Prime Factorization of 32933
Prime factors of 32933 are 32933. Prime factorization of 32933 in exponential form is:
32933 = 329331
Prime Factorization of 32938
Prime factors of 32938 are 2, 43, 383. Prime factorization of 32938 in exponential form is:
32938 = 21 × 431 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 32933 and 32938.
LCM(32933,32938) = 329331 × 21 × 431 × 3831
LCM(32933,32938) = 1084747154
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