What is the Least Common Multiple of 1016 and 1030?
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 1016 and 1030 is 523240.
LCM(1016,1030) = 523240
Least Common Multiple of 1016 and 1030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1016 and 1030, than apply into the LCM equation.
GCF(1016,1030) = 2
LCM(1016,1030) = ( 1016 × 1030) / 2
LCM(1016,1030) = 1046480 / 2
LCM(1016,1030) = 523240
Least Common Multiple (LCM) of 1016 and 1030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1016 and 1030. First we will calculate the prime factors of 1016 and 1030.
Prime Factorization of 1016
Prime factors of 1016 are 2, 127. Prime factorization of 1016 in exponential form is:
1016 = 23 × 1271
Prime Factorization of 1030
Prime factors of 1030 are 2, 5, 103. Prime factorization of 1030 in exponential form is:
1030 = 21 × 51 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 1016 and 1030.
LCM(1016,1030) = 23 × 1271 × 51 × 1031
LCM(1016,1030) = 523240
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
Related Least Common Multiples of 1030
- LCM of 1030 and 1034
- LCM of 1030 and 1035
- LCM of 1030 and 1036
- LCM of 1030 and 1037
- LCM of 1030 and 1038
- LCM of 1030 and 1039
- LCM of 1030 and 1040
- LCM of 1030 and 1041
- LCM of 1030 and 1042
- LCM of 1030 and 1043
- LCM of 1030 and 1044
- LCM of 1030 and 1045
- LCM of 1030 and 1046
- LCM of 1030 and 1047
- LCM of 1030 and 1048
- LCM of 1030 and 1049
- LCM of 1030 and 1050