What is the Least Common Multiple of 20357 and 20362?
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 20357 and 20362 is 414509234.
LCM(20357,20362) = 414509234
Least Common Multiple of 20357 and 20362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20357 and 20362, than apply into the LCM equation.
GCF(20357,20362) = 1
LCM(20357,20362) = ( 20357 × 20362) / 1
LCM(20357,20362) = 414509234 / 1
LCM(20357,20362) = 414509234
Least Common Multiple (LCM) of 20357 and 20362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20357 and 20362. First we will calculate the prime factors of 20357 and 20362.
Prime Factorization of 20357
Prime factors of 20357 are 20357. Prime factorization of 20357 in exponential form is:
20357 = 203571
Prime Factorization of 20362
Prime factors of 20362 are 2, 10181. Prime factorization of 20362 in exponential form is:
20362 = 21 × 101811
Now multiplying the highest exponent prime factors to calculate the LCM of 20357 and 20362.
LCM(20357,20362) = 203571 × 21 × 101811
LCM(20357,20362) = 414509234
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