What is the Least Common Multiple of 20134 and 20146?
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 20134 and 20146 is 202809782.
LCM(20134,20146) = 202809782
Least Common Multiple of 20134 and 20146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20134 and 20146, than apply into the LCM equation.
GCF(20134,20146) = 2
LCM(20134,20146) = ( 20134 × 20146) / 2
LCM(20134,20146) = 405619564 / 2
LCM(20134,20146) = 202809782
Least Common Multiple (LCM) of 20134 and 20146 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20134 and 20146. First we will calculate the prime factors of 20134 and 20146.
Prime Factorization of 20134
Prime factors of 20134 are 2, 10067. Prime factorization of 20134 in exponential form is:
20134 = 21 × 100671
Prime Factorization of 20146
Prime factors of 20146 are 2, 7, 1439. Prime factorization of 20146 in exponential form is:
20146 = 21 × 71 × 14391
Now multiplying the highest exponent prime factors to calculate the LCM of 20134 and 20146.
LCM(20134,20146) = 21 × 100671 × 71 × 14391
LCM(20134,20146) = 202809782
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