Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 732 and 734 the smallest integer that is 268644 that is divisible by both numbers.
Least Common Multiple (LCM) of 732 and 734 is 268644.
LCM(732,734) = 268644
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 732 and 734. First we will calculate the prime factors of 732 and 734.
Prime Factorization of 732
2 | 732 |
2 | 366 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 732 are 2, 3,61. Prime factorization of 732 in exponential form is:
732 = 22×31×611
Prime Factorization of 734
2 | 734 |
367 | 367 |
1 |
Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:
734 = 21×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 732 and 734.
LCM(732,734) = 22×31×611×3671
LCM(732,734) = 268644
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1, 2, 367, 734
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 732 and 734, than apply into the LCM equation.
GCF(732,734) = 2
LCM(732,734) = ( 732 × 734) / 2
LCM(732,734) = 537288 / 2
LCM(732,734) = 268644
(i) The LCM of 734 and 732 is associative
LCM of 732 and 734 = LCM of 734 and 732
1. What is the LCM of 732 and 734?
Answer: LCM of 732 and 734 is 268644.
2. What are the Factors of 732?
Answer: Factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. There are 12 integers that are factors of 732. The greatest factor of 732 is 732.
3. What are the Factors of 734?
Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.
4. How to Find the LCM of 732 and 734?
Answer:
Least Common Multiple of 732 and 734 = 268644
Step 1: Find the prime factorization of 732
732 = 2 x 2 x 3 x 61
Step 2: Find the prime factorization of 734
734 = 2 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 268644 = 2 x 2 x 3 x 61 x 367
Step 4: Therefore, the least common multiple of 732 and 734 is 268644.