What is the Least Common Multiple of 20510 and 20530?
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 20510 and 20530 is 42107030.
LCM(20510,20530) = 42107030
Least Common Multiple of 20510 and 20530 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20510 and 20530, than apply into the LCM equation.
GCF(20510,20530) = 10
LCM(20510,20530) = ( 20510 × 20530) / 10
LCM(20510,20530) = 421070300 / 10
LCM(20510,20530) = 42107030
Least Common Multiple (LCM) of 20510 and 20530 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20510 and 20530. First we will calculate the prime factors of 20510 and 20530.
Prime Factorization of 20510
Prime factors of 20510 are 2, 5, 7, 293. Prime factorization of 20510 in exponential form is:
20510 = 21 × 51 × 71 × 2931
Prime Factorization of 20530
Prime factors of 20530 are 2, 5, 2053. Prime factorization of 20530 in exponential form is:
20530 = 21 × 51 × 20531
Now multiplying the highest exponent prime factors to calculate the LCM of 20510 and 20530.
LCM(20510,20530) = 21 × 51 × 71 × 2931 × 20531
LCM(20510,20530) = 42107030
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