What is the Least Common Multiple of 20507 and 20514?
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 20507 and 20514 is 420680598.
LCM(20507,20514) = 420680598
Least Common Multiple of 20507 and 20514 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20507 and 20514, than apply into the LCM equation.
GCF(20507,20514) = 1
LCM(20507,20514) = ( 20507 × 20514) / 1
LCM(20507,20514) = 420680598 / 1
LCM(20507,20514) = 420680598
Least Common Multiple (LCM) of 20507 and 20514 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20507 and 20514. First we will calculate the prime factors of 20507 and 20514.
Prime Factorization of 20507
Prime factors of 20507 are 20507. Prime factorization of 20507 in exponential form is:
20507 = 205071
Prime Factorization of 20514
Prime factors of 20514 are 2, 3, 13, 263. Prime factorization of 20514 in exponential form is:
20514 = 21 × 31 × 131 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 20507 and 20514.
LCM(20507,20514) = 205071 × 21 × 31 × 131 × 2631
LCM(20507,20514) = 420680598
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