What is the Least Common Multiple of 20061 and 20081?
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 20061 and 20081 is 402844941.
LCM(20061,20081) = 402844941
Least Common Multiple of 20061 and 20081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20061 and 20081, than apply into the LCM equation.
GCF(20061,20081) = 1
LCM(20061,20081) = ( 20061 × 20081) / 1
LCM(20061,20081) = 402844941 / 1
LCM(20061,20081) = 402844941
Least Common Multiple (LCM) of 20061 and 20081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20061 and 20081. First we will calculate the prime factors of 20061 and 20081.
Prime Factorization of 20061
Prime factors of 20061 are 3, 743. Prime factorization of 20061 in exponential form is:
20061 = 33 × 7431
Prime Factorization of 20081
Prime factors of 20081 are 43, 467. Prime factorization of 20081 in exponential form is:
20081 = 431 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 20061 and 20081.
LCM(20061,20081) = 33 × 7431 × 431 × 4671
LCM(20061,20081) = 402844941
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