What is the Least Common Multiple of 1014 and 1020?
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 1014 and 1020 is 172380.
LCM(1014,1020) = 172380
Least Common Multiple of 1014 and 1020 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1014 and 1020, than apply into the LCM equation.
GCF(1014,1020) = 6
LCM(1014,1020) = ( 1014 × 1020) / 6
LCM(1014,1020) = 1034280 / 6
LCM(1014,1020) = 172380
Least Common Multiple (LCM) of 1014 and 1020 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1014 and 1020. First we will calculate the prime factors of 1014 and 1020.
Prime Factorization of 1014
Prime factors of 1014 are 2, 3, 13. Prime factorization of 1014 in exponential form is:
1014 = 21 × 31 × 132
Prime Factorization of 1020
Prime factors of 1020 are 2, 3, 5, 17. Prime factorization of 1020 in exponential form is:
1020 = 22 × 31 × 51 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 1014 and 1020.
LCM(1014,1020) = 22 × 31 × 132 × 51 × 171
LCM(1014,1020) = 172380
Related Least Common Multiples of 1014
- LCM of 1014 and 1018
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- LCM of 1014 and 1023
- LCM of 1014 and 1024
- LCM of 1014 and 1025
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- LCM of 1014 and 1030
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- LCM of 1014 and 1033
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Related Least Common Multiples of 1020
- LCM of 1020 and 1024
- LCM of 1020 and 1025
- LCM of 1020 and 1026
- LCM of 1020 and 1027
- LCM of 1020 and 1028
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- LCM of 1020 and 1030
- LCM of 1020 and 1031
- LCM of 1020 and 1032
- LCM of 1020 and 1033
- LCM of 1020 and 1034
- LCM of 1020 and 1035
- LCM of 1020 and 1036
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