What is the Least Common Multiple of 20324 and 20334?
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 20324 and 20334 is 206634108.
LCM(20324,20334) = 206634108
Least Common Multiple of 20324 and 20334 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20324 and 20334, than apply into the LCM equation.
GCF(20324,20334) = 2
LCM(20324,20334) = ( 20324 × 20334) / 2
LCM(20324,20334) = 413268216 / 2
LCM(20324,20334) = 206634108
Least Common Multiple (LCM) of 20324 and 20334 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20324 and 20334. First we will calculate the prime factors of 20324 and 20334.
Prime Factorization of 20324
Prime factors of 20324 are 2, 5081. Prime factorization of 20324 in exponential form is:
20324 = 22 × 50811
Prime Factorization of 20334
Prime factors of 20334 are 2, 3, 3389. Prime factorization of 20334 in exponential form is:
20334 = 21 × 31 × 33891
Now multiplying the highest exponent prime factors to calculate the LCM of 20324 and 20334.
LCM(20324,20334) = 22 × 50811 × 31 × 33891
LCM(20324,20334) = 206634108
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