Least Common Multiple of 1602 and 1603
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1602 and 1603 the smallest integer that is 2568006 that is divisible by both numbers.
Least Common Multiple (LCM) of 1602 and 1603 is 2568006.
LCM(1602,1603) = 2568006
LCM of 1602 and 1603
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1602 and 1603 by Prime method
- Least Common Multiple of 1602 and 1603 with GCF Formula
LCM of 1602 and 1603 is 2568006
Least common multiple can be found by multiplying the highest exponent prime factors of 1602 and 1603. First we will calculate the prime factors of 1602 and 1603.
Prime Factorization of 1602
| 2 | 1602 |
| 3 | 801 |
| 3 | 267 |
| 89 | 89 |
| 1 |
Prime factors of 1602 are 2, 3,89. Prime factorization of 1602 in exponential form is:
1602 = 21×32×891
Prime Factorization of 1603
| 7 | 1603 |
| 229 | 229 |
| 1 |
Prime factors of 1603 are 7,229. Prime factorization of 1603 in exponential form is:
1603 = 71×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 1602 and 1603.
LCM(1602,1603) = 21×32×71×891×2291
LCM(1602,1603) = 2568006
Factors of 1602
List of positive integer factors of 1602 that divides 1602 without a remainder.
1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602
Factors of 1603
List of positive integer factors of 1603 that divides 1603 without a remainder.
1, 7, 229, 1603
Least Common Multiple of 1602 and 1603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1602 and 1603, than apply into the LCM equation.
GCF(1602,1603) = 1
LCM(1602,1603) = ( 1602 × 1603) / 1
LCM(1602,1603) = 2568006 / 1
LCM(1602,1603) = 2568006
Properties of LCM 1602 and 1603
(i) The LCM of 1603 and 1602 is associative
LCM of 1602 and 1603 = LCM of 1603 and 1602
Related Least Common Multiples of 1602
Related Least Common Multiples of 1603
Frequently Asked Questions on LCM of 1602 and 1603
1. What is the LCM of 1602 and 1603?
Answer: LCM of 1602 and 1603 is 2568006.
2. What are the Factors of 1602?
Answer: Factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602. There are 12 integers that are factors of 1602. The greatest factor of 1602 is 1602.
3. What are the Factors of 1603?
Answer: Factors of 1603 are 1, 7, 229, 1603. There are 4 integers that are factors of 1603. The greatest factor of 1603 is 1603.
4. How to Find the LCM of 1602 and 1603?
Answer:
Least Common Multiple of 1602 and 1603 = 2568006
Step 1: Find the prime factorization of 1602
1602 = 2 x 3 x 3 x 89
Step 2: Find the prime factorization of 1603
1603 = 7 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2568006 = 2 x 3 x 3 x 7 x 89 x 229
Step 4: Therefore, the least common multiple of 1602 and 1603 is 2568006.
