What is the Least Common Multiple of 32014 and 32020?
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 32014 and 32020 is 512544140.
LCM(32014,32020) = 512544140
Least Common Multiple of 32014 and 32020 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32014 and 32020, than apply into the LCM equation.
GCF(32014,32020) = 2
LCM(32014,32020) = ( 32014 × 32020) / 2
LCM(32014,32020) = 1025088280 / 2
LCM(32014,32020) = 512544140
Least Common Multiple (LCM) of 32014 and 32020 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32014 and 32020. First we will calculate the prime factors of 32014 and 32020.
Prime Factorization of 32014
Prime factors of 32014 are 2, 16007. Prime factorization of 32014 in exponential form is:
32014 = 21 × 160071
Prime Factorization of 32020
Prime factors of 32020 are 2, 5, 1601. Prime factorization of 32020 in exponential form is:
32020 = 22 × 51 × 16011
Now multiplying the highest exponent prime factors to calculate the LCM of 32014 and 32020.
LCM(32014,32020) = 22 × 160071 × 51 × 16011
LCM(32014,32020) = 512544140
Related Least Common Multiples of 32014
- LCM of 32014 and 32018
- LCM of 32014 and 32019
- LCM of 32014 and 32020
- LCM of 32014 and 32021
- LCM of 32014 and 32022
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- LCM of 32014 and 32030
- LCM of 32014 and 32031
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Related Least Common Multiples of 32020
- LCM of 32020 and 32024
- LCM of 32020 and 32025
- LCM of 32020 and 32026
- LCM of 32020 and 32027
- LCM of 32020 and 32028
- LCM of 32020 and 32029
- LCM of 32020 and 32030
- LCM of 32020 and 32031
- LCM of 32020 and 32032
- LCM of 32020 and 32033
- LCM of 32020 and 32034
- LCM of 32020 and 32035
- LCM of 32020 and 32036
- LCM of 32020 and 32037
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- LCM of 32020 and 32040