Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1228 and 1236 the smallest integer that is 379452 that is divisible by both numbers.
Least Common Multiple (LCM) of 1228 and 1236 is 379452.
LCM(1228,1236) = 379452
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 1228 and 1236. First we will calculate the prime factors of 1228 and 1236.
Prime Factorization of 1228
2 | 1228 |
2 | 614 |
307 | 307 |
1 |
Prime factors of 1228 are 2,307. Prime factorization of 1228 in exponential form is:
1228 = 22×3071
Prime Factorization of 1236
2 | 1236 |
2 | 618 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 1236 are 2, 3,103. Prime factorization of 1236 in exponential form is:
1236 = 22×31×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 1228 and 1236.
LCM(1228,1236) = 22×31×1031×3071
LCM(1228,1236) = 379452
Factors of 1228
List of positive integer factors of 1228 that divides 1228 without a remainder.
1, 2, 4, 307, 614, 1228
Factors of 1236
List of positive integer factors of 1236 that divides 1236 without a remainder.
1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1228 and 1236, than apply into the LCM equation.
GCF(1228,1236) = 4
LCM(1228,1236) = ( 1228 × 1236) / 4
LCM(1228,1236) = 1517808 / 4
LCM(1228,1236) = 379452
(i) The LCM of 1236 and 1228 is associative
LCM of 1228 and 1236 = LCM of 1236 and 1228
1. What is the LCM of 1228 and 1236?
Answer: LCM of 1228 and 1236 is 379452.
2. What are the Factors of 1228?
Answer: Factors of 1228 are 1, 2, 4, 307, 614, 1228. There are 6 integers that are factors of 1228. The greatest factor of 1228 is 1228.
3. What are the Factors of 1236?
Answer: Factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236. There are 12 integers that are factors of 1236. The greatest factor of 1236 is 1236.
4. How to Find the LCM of 1228 and 1236?
Answer:
Least Common Multiple of 1228 and 1236 = 379452
Step 1: Find the prime factorization of 1228
1228 = 2 x 2 x 307
Step 2: Find the prime factorization of 1236
1236 = 2 x 2 x 3 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 379452 = 2 x 2 x 3 x 103 x 307
Step 4: Therefore, the least common multiple of 1228 and 1236 is 379452.