Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1351 and 1359 the smallest integer that is 1836009 that is divisible by both numbers.
Least Common Multiple (LCM) of 1351 and 1359 is 1836009.
LCM(1351,1359) = 1836009
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 1351 and 1359. First we will calculate the prime factors of 1351 and 1359.
Prime Factorization of 1351
7 | 1351 |
193 | 193 |
1 |
Prime factors of 1351 are 7,193. Prime factorization of 1351 in exponential form is:
1351 = 71×1931
Prime Factorization of 1359
3 | 1359 |
3 | 453 |
151 | 151 |
1 |
Prime factors of 1359 are 3,151. Prime factorization of 1359 in exponential form is:
1359 = 32×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 1351 and 1359.
LCM(1351,1359) = 32×71×1511×1931
LCM(1351,1359) = 1836009
Factors of 1351
List of positive integer factors of 1351 that divides 1351 without a remainder.
1, 7, 193, 1351
Factors of 1359
List of positive integer factors of 1359 that divides 1359 without a remainder.
1, 3, 9, 151, 453, 1359
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1351 and 1359, than apply into the LCM equation.
GCF(1351,1359) = 1
LCM(1351,1359) = ( 1351 × 1359) / 1
LCM(1351,1359) = 1836009 / 1
LCM(1351,1359) = 1836009
(i) The LCM of 1359 and 1351 is associative
LCM of 1351 and 1359 = LCM of 1359 and 1351
1. What is the LCM of 1351 and 1359?
Answer: LCM of 1351 and 1359 is 1836009.
2. What are the Factors of 1351?
Answer: Factors of 1351 are 1, 7, 193, 1351. There are 4 integers that are factors of 1351. The greatest factor of 1351 is 1351.
3. What are the Factors of 1359?
Answer: Factors of 1359 are 1, 3, 9, 151, 453, 1359. There are 6 integers that are factors of 1359. The greatest factor of 1359 is 1359.
4. How to Find the LCM of 1351 and 1359?
Answer:
Least Common Multiple of 1351 and 1359 = 1836009
Step 1: Find the prime factorization of 1351
1351 = 7 x 193
Step 2: Find the prime factorization of 1359
1359 = 3 x 3 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1836009 = 3 x 3 x 7 x 151 x 193
Step 4: Therefore, the least common multiple of 1351 and 1359 is 1836009.