Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 356 and 358 the smallest integer that is 63724 that is divisible by both numbers.
Least Common Multiple (LCM) of 356 and 358 is 63724.
LCM(356,358) = 63724
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 356 and 358. First we will calculate the prime factors of 356 and 358.
Prime Factorization of 356
2 | 356 |
2 | 178 |
89 | 89 |
1 |
Prime factors of 356 are 2,89. Prime factorization of 356 in exponential form is:
356 = 22×891
Prime Factorization of 358
2 | 358 |
179 | 179 |
1 |
Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:
358 = 21×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 356 and 358.
LCM(356,358) = 22×891×1791
LCM(356,358) = 63724
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1, 2, 179, 358
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 356 and 358, than apply into the LCM equation.
GCF(356,358) = 2
LCM(356,358) = ( 356 × 358) / 2
LCM(356,358) = 127448 / 2
LCM(356,358) = 63724
(i) The LCM of 358 and 356 is associative
LCM of 356 and 358 = LCM of 358 and 356
1. What is the LCM of 356 and 358?
Answer: LCM of 356 and 358 is 63724.
2. What are the Factors of 356?
Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.
3. What are the Factors of 358?
Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.
4. How to Find the LCM of 356 and 358?
Answer:
Least Common Multiple of 356 and 358 = 63724
Step 1: Find the prime factorization of 356
356 = 2 x 2 x 89
Step 2: Find the prime factorization of 358
358 = 2 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63724 = 2 x 2 x 89 x 179
Step 4: Therefore, the least common multiple of 356 and 358 is 63724.