Least Common Multiple of 735 and 737
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 735 and 737 the smallest integer that is 541695 that is divisible by both numbers.
Least Common Multiple (LCM) of 735 and 737 is 541695.
LCM(735,737) = 541695
LCM of 735 and 737
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 735 and 737 by Prime method
- Least Common Multiple of 735 and 737 with GCF Formula
LCM of 735 and 737 is 541695
Least common multiple can be found by multiplying the highest exponent prime factors of 735 and 737. First we will calculate the prime factors of 735 and 737.
Prime Factorization of 735
| 3 | 735 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 735 are 3, 5,7. Prime factorization of 735 in exponential form is:
735 = 31×51×72
Prime Factorization of 737
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 737 are 11,67. Prime factorization of 737 in exponential form is:
737 = 111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 735 and 737.
LCM(735,737) = 31×51×72×111×671
LCM(735,737) = 541695
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Least Common Multiple of 735 and 737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 735 and 737, than apply into the LCM equation.
GCF(735,737) = 1
LCM(735,737) = ( 735 × 737) / 1
LCM(735,737) = 541695 / 1
LCM(735,737) = 541695
Properties of LCM 735 and 737
(i) The LCM of 737 and 735 is associative
LCM of 735 and 737 = LCM of 737 and 735
Related Least Common Multiples of 735
Related Least Common Multiples of 737
Frequently Asked Questions on LCM of 735 and 737
1. What is the LCM of 735 and 737?
Answer: LCM of 735 and 737 is 541695.
2. What are the Factors of 735?
Answer: Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. There are 12 integers that are factors of 735. The greatest factor of 735 is 735.
3. What are the Factors of 737?
Answer: Factors of 737 are 1, 11, 67, 737. There are 4 integers that are factors of 737. The greatest factor of 737 is 737.
4. How to Find the LCM of 735 and 737?
Answer:
Least Common Multiple of 735 and 737 = 541695
Step 1: Find the prime factorization of 735
735 = 3 x 5 x 7 x 7
Step 2: Find the prime factorization of 737
737 = 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 541695 = 3 x 5 x 7 x 7 x 11 x 67
Step 4: Therefore, the least common multiple of 735 and 737 is 541695.
