What is the Least Common Multiple of 50284 and 50289?
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 50284 and 50289 is 2528732076.
LCM(50284,50289) = 2528732076
Least Common Multiple of 50284 and 50289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50284 and 50289, than apply into the LCM equation.
GCF(50284,50289) = 1
LCM(50284,50289) = ( 50284 × 50289) / 1
LCM(50284,50289) = 2528732076 / 1
LCM(50284,50289) = 2528732076
Least Common Multiple (LCM) of 50284 and 50289 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50284 and 50289. First we will calculate the prime factors of 50284 and 50289.
Prime Factorization of 50284
Prime factors of 50284 are 2, 13, 967. Prime factorization of 50284 in exponential form is:
50284 = 22 × 131 × 9671
Prime Factorization of 50289
Prime factors of 50289 are 3, 16763. Prime factorization of 50289 in exponential form is:
50289 = 31 × 167631
Now multiplying the highest exponent prime factors to calculate the LCM of 50284 and 50289.
LCM(50284,50289) = 22 × 131 × 9671 × 31 × 167631
LCM(50284,50289) = 2528732076
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