What is the Least Common Multiple of 1012 and 1019?
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 1019 is 1031228.
LCM(1012,1019) = 1031228
Least Common Multiple of 1012 and 1019 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 1019, than apply into the LCM equation.
GCF(1012,1019) = 1
LCM(1012,1019) = ( 1012 × 1019) / 1
LCM(1012,1019) = 1031228 / 1
LCM(1012,1019) = 1031228
Least Common Multiple (LCM) of 1012 and 1019 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1012 and 1019. First we will calculate the prime factors of 1012 and 1019.
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 1019
Prime factors of 1019 are 1019. Prime factorization of 1019 in exponential form is:
1019 = 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 1012 and 1019.
LCM(1012,1019) = 22 × 111 × 231 × 10191
LCM(1012,1019) = 1031228
Related Least Common Multiples of 1012
- LCM of 1012 and 1016
- LCM of 1012 and 1017
- LCM of 1012 and 1018
- LCM of 1012 and 1019
- LCM of 1012 and 1020
- LCM of 1012 and 1021
- LCM of 1012 and 1022
- 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
- LCM of 1012 and 1029
- LCM of 1012 and 1030
- LCM of 1012 and 1031
- LCM of 1012 and 1032
Related Least Common Multiples of 1019
- LCM of 1019 and 1023
- LCM of 1019 and 1024
- LCM of 1019 and 1025
- LCM of 1019 and 1026
- LCM of 1019 and 1027
- LCM of 1019 and 1028
- LCM of 1019 and 1029
- LCM of 1019 and 1030
- LCM of 1019 and 1031
- LCM of 1019 and 1032
- LCM of 1019 and 1033
- LCM of 1019 and 1034
- LCM of 1019 and 1035
- LCM of 1019 and 1036
- LCM of 1019 and 1037
- LCM of 1019 and 1038
- LCM of 1019 and 1039