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 1358 the smallest integer that is 262094 that is divisible by both numbers.
Least Common Multiple (LCM) of 1351 and 1358 is 262094.
LCM(1351,1358) = 262094
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 1358. First we will calculate the prime factors of 1351 and 1358.
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 1358
2 | 1358 |
7 | 679 |
97 | 97 |
1 |
Prime factors of 1358 are 2, 7,97. Prime factorization of 1358 in exponential form is:
1358 = 21×71×971
Now multiplying the highest exponent prime factors to calculate the LCM of 1351 and 1358.
LCM(1351,1358) = 21×71×971×1931
LCM(1351,1358) = 262094
Factors of 1351
List of positive integer factors of 1351 that divides 1351 without a remainder.
1, 7, 193, 1351
Factors of 1358
List of positive integer factors of 1358 that divides 1358 without a remainder.
1, 2, 7, 14, 97, 194, 679, 1358
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1351 and 1358, than apply into the LCM equation.
GCF(1351,1358) = 7
LCM(1351,1358) = ( 1351 × 1358) / 7
LCM(1351,1358) = 1834658 / 7
LCM(1351,1358) = 262094
(i) The LCM of 1358 and 1351 is associative
LCM of 1351 and 1358 = LCM of 1358 and 1351
1. What is the LCM of 1351 and 1358?
Answer: LCM of 1351 and 1358 is 262094.
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 1358?
Answer: Factors of 1358 are 1, 2, 7, 14, 97, 194, 679, 1358. There are 8 integers that are factors of 1358. The greatest factor of 1358 is 1358.
4. How to Find the LCM of 1351 and 1358?
Answer:
Least Common Multiple of 1351 and 1358 = 262094
Step 1: Find the prime factorization of 1351
1351 = 7 x 193
Step 2: Find the prime factorization of 1358
1358 = 2 x 7 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 262094 = 2 x 7 x 97 x 193
Step 4: Therefore, the least common multiple of 1351 and 1358 is 262094.