What is the Least Common Multiple of 1012 and 1016?
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 1012 and 1016 is 257048.
LCM(1012,1016) = 257048
Least Common Multiple of 1012 and 1016 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1012 and 1016, than apply into the LCM equation.
GCF(1012,1016) = 4
LCM(1012,1016) = ( 1012 × 1016) / 4
LCM(1012,1016) = 1028192 / 4
LCM(1012,1016) = 257048
Least Common Multiple (LCM) of 1012 and 1016 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1012 and 1016. First we will calculate the prime factors of 1012 and 1016.
Prime Factorization of 1012
Prime factors of 1012 are 2, 11, 23. Prime factorization of 1012 in exponential form is:
1012 = 22 × 111 × 231
Prime Factorization of 1016
Prime factors of 1016 are 2, 127. Prime factorization of 1016 in exponential form is:
1016 = 23 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 1012 and 1016.
LCM(1012,1016) = 23 × 111 × 231 × 1271
LCM(1012,1016) = 257048
Related Least Common Multiples of 1012
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- LCM of 1012 and 1023
- LCM of 1012 and 1024
- LCM of 1012 and 1025
- LCM of 1012 and 1026
- LCM of 1012 and 1027
- LCM of 1012 and 1028
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Related Least Common Multiples of 1016
- LCM of 1016 and 1020
- LCM of 1016 and 1021
- LCM of 1016 and 1022
- LCM of 1016 and 1023
- LCM of 1016 and 1024
- LCM of 1016 and 1025
- LCM of 1016 and 1026
- LCM of 1016 and 1027
- LCM of 1016 and 1028
- LCM of 1016 and 1029
- LCM of 1016 and 1030
- LCM of 1016 and 1031
- LCM of 1016 and 1032
- LCM of 1016 and 1033
- LCM of 1016 and 1034
- LCM of 1016 and 1035
- LCM of 1016 and 1036