What is the Least Common Multiple of 20057 and 20071?
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 20057 and 20071 is 402564047.
LCM(20057,20071) = 402564047
Least Common Multiple of 20057 and 20071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20057 and 20071, than apply into the LCM equation.
GCF(20057,20071) = 1
LCM(20057,20071) = ( 20057 × 20071) / 1
LCM(20057,20071) = 402564047 / 1
LCM(20057,20071) = 402564047
Least Common Multiple (LCM) of 20057 and 20071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20057 and 20071. First we will calculate the prime factors of 20057 and 20071.
Prime Factorization of 20057
Prime factors of 20057 are 31, 647. Prime factorization of 20057 in exponential form is:
20057 = 311 × 6471
Prime Factorization of 20071
Prime factors of 20071 are 20071. Prime factorization of 20071 in exponential form is:
20071 = 200711
Now multiplying the highest exponent prime factors to calculate the LCM of 20057 and 20071.
LCM(20057,20071) = 311 × 6471 × 200711
LCM(20057,20071) = 402564047
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