Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1030 and 1033 the smallest integer that is 1063990 that is divisible by both numbers.
Least Common Multiple (LCM) of 1030 and 1033 is 1063990.
LCM(1030,1033) = 1063990
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1030 and 1033. First we will calculate the prime factors of 1030 and 1033.
Prime Factorization of 1030
2 | 1030 |
5 | 515 |
103 | 103 |
1 |
Prime factors of 1030 are 2, 5,103. Prime factorization of 1030 in exponential form is:
1030 = 21×51×1031
Prime Factorization of 1033
1033 | 1033 |
1 |
Prime factors of 1033 are 1033. Prime factorization of 1033 in exponential form is:
1033 = 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 1030 and 1033.
LCM(1030,1033) = 21×51×1031×10331
LCM(1030,1033) = 1063990
Factors of 1030
List of positive integer factors of 1030 that divides 1030 without a remainder.
1, 2, 5, 10, 103, 206, 515, 1030
Factors of 1033
List of positive integer factors of 1033 that divides 1033 without a remainder.
1, 1033
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1030 and 1033, than apply into the LCM equation.
GCF(1030,1033) = 1
LCM(1030,1033) = ( 1030 × 1033) / 1
LCM(1030,1033) = 1063990 / 1
LCM(1030,1033) = 1063990
(i) The LCM of 1033 and 1030 is associative
LCM of 1030 and 1033 = LCM of 1033 and 1030
1. What is the LCM of 1030 and 1033?
Answer: LCM of 1030 and 1033 is 1063990.
2. What are the Factors of 1030?
Answer: Factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030. There are 8 integers that are factors of 1030. The greatest factor of 1030 is 1030.
3. What are the Factors of 1033?
Answer: Factors of 1033 are 1, 1033. There are 2 integers that are factors of 1033. The greatest factor of 1033 is 1033.
4. How to Find the LCM of 1030 and 1033?
Answer:
Least Common Multiple of 1030 and 1033 = 1063990
Step 1: Find the prime factorization of 1030
1030 = 2 x 5 x 103
Step 2: Find the prime factorization of 1033
1033 = 1033
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1063990 = 2 x 5 x 103 x 1033
Step 4: Therefore, the least common multiple of 1030 and 1033 is 1063990.