What is the Least Common Multiple of 20436 and 20452?
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 20436 and 20452 is 104489268.
LCM(20436,20452) = 104489268
Least Common Multiple of 20436 and 20452 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20436 and 20452, than apply into the LCM equation.
GCF(20436,20452) = 4
LCM(20436,20452) = ( 20436 × 20452) / 4
LCM(20436,20452) = 417957072 / 4
LCM(20436,20452) = 104489268
Least Common Multiple (LCM) of 20436 and 20452 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20436 and 20452. First we will calculate the prime factors of 20436 and 20452.
Prime Factorization of 20436
Prime factors of 20436 are 2, 3, 13, 131. Prime factorization of 20436 in exponential form is:
20436 = 22 × 31 × 131 × 1311
Prime Factorization of 20452
Prime factors of 20452 are 2, 5113. Prime factorization of 20452 in exponential form is:
20452 = 22 × 51131
Now multiplying the highest exponent prime factors to calculate the LCM of 20436 and 20452.
LCM(20436,20452) = 22 × 31 × 131 × 1311 × 51131
LCM(20436,20452) = 104489268
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