Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1229 and 1233 the smallest integer that is 1515357 that is divisible by both numbers.
Least Common Multiple (LCM) of 1229 and 1233 is 1515357.
LCM(1229,1233) = 1515357
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 1229 and 1233. First we will calculate the prime factors of 1229 and 1233.
Prime Factorization of 1229
1229 | 1229 |
1 |
Prime factors of 1229 are 1229. Prime factorization of 1229 in exponential form is:
1229 = 12291
Prime Factorization of 1233
3 | 1233 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 1233 are 3,137. Prime factorization of 1233 in exponential form is:
1233 = 32×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 1229 and 1233.
LCM(1229,1233) = 32×1371×12291
LCM(1229,1233) = 1515357
Factors of 1229
List of positive integer factors of 1229 that divides 1229 without a remainder.
1, 1229
Factors of 1233
List of positive integer factors of 1233 that divides 1233 without a remainder.
1, 3, 9, 137, 411, 1233
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1229 and 1233, than apply into the LCM equation.
GCF(1229,1233) = 1
LCM(1229,1233) = ( 1229 × 1233) / 1
LCM(1229,1233) = 1515357 / 1
LCM(1229,1233) = 1515357
(i) The LCM of 1233 and 1229 is associative
LCM of 1229 and 1233 = LCM of 1233 and 1229
1. What is the LCM of 1229 and 1233?
Answer: LCM of 1229 and 1233 is 1515357.
2. What are the Factors of 1229?
Answer: Factors of 1229 are 1, 1229. There are 2 integers that are factors of 1229. The greatest factor of 1229 is 1229.
3. What are the Factors of 1233?
Answer: Factors of 1233 are 1, 3, 9, 137, 411, 1233. There are 6 integers that are factors of 1233. The greatest factor of 1233 is 1233.
4. How to Find the LCM of 1229 and 1233?
Answer:
Least Common Multiple of 1229 and 1233 = 1515357
Step 1: Find the prime factorization of 1229
1229 = 1229
Step 2: Find the prime factorization of 1233
1233 = 3 x 3 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1515357 = 3 x 3 x 137 x 1229
Step 4: Therefore, the least common multiple of 1229 and 1233 is 1515357.