Least Common Multiple of 753 and 761
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 753 and 761 the smallest integer that is 573033 that is divisible by both numbers.
Least Common Multiple (LCM) of 753 and 761 is 573033.
LCM(753,761) = 573033
LCM of 753 and 761
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 753 and 761 by Prime method
- Least Common Multiple of 753 and 761 with GCF Formula
LCM of 753 and 761 is 573033
Least common multiple can be found by multiplying the highest exponent prime factors of 753 and 761. First we will calculate the prime factors of 753 and 761.
Prime Factorization of 753
| 3 | 753 |
| 251 | 251 |
| 1 |
Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:
753 = 31×2511
Prime Factorization of 761
| 761 | 761 |
| 1 |
Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:
761 = 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 753 and 761.
LCM(753,761) = 31×2511×7611
LCM(753,761) = 573033
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1, 761
Least Common Multiple of 753 and 761 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 753 and 761, than apply into the LCM equation.
GCF(753,761) = 1
LCM(753,761) = ( 753 × 761) / 1
LCM(753,761) = 573033 / 1
LCM(753,761) = 573033
Properties of LCM 753 and 761
(i) The LCM of 761 and 753 is associative
LCM of 753 and 761 = LCM of 761 and 753
Related Least Common Multiples of 753
Related Least Common Multiples of 761
Frequently Asked Questions on LCM of 753 and 761
1. What is the LCM of 753 and 761?
Answer: LCM of 753 and 761 is 573033.
2. What are the Factors of 753?
Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.
3. What are the Factors of 761?
Answer: Factors of 761 are 1, 761. There are 2 integers that are factors of 761. The greatest factor of 761 is 761.
4. How to Find the LCM of 753 and 761?
Answer:
Least Common Multiple of 753 and 761 = 573033
Step 1: Find the prime factorization of 753
753 = 3 x 251
Step 2: Find the prime factorization of 761
761 = 761
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 573033 = 3 x 251 x 761
Step 4: Therefore, the least common multiple of 753 and 761 is 573033.
