Least Common Multiple of 722 and 727
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 722 and 727 the smallest integer that is 524894 that is divisible by both numbers.
Least Common Multiple (LCM) of 722 and 727 is 524894.
LCM(722,727) = 524894
LCM of 722 and 727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 722 and 727 by Prime method
- Least Common Multiple of 722 and 727 with GCF Formula
LCM of 722 and 727 is 524894
Least common multiple can be found by multiplying the highest exponent prime factors of 722 and 727. First we will calculate the prime factors of 722 and 727.
Prime Factorization of 722
| 2 | 722 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:
722 = 21×192
Prime Factorization of 727
| 727 | 727 |
| 1 |
Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:
727 = 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 722 and 727.
LCM(722,727) = 21×192×7271
LCM(722,727) = 524894
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1, 727
Least Common Multiple of 722 and 727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 722 and 727, than apply into the LCM equation.
GCF(722,727) = 1
LCM(722,727) = ( 722 × 727) / 1
LCM(722,727) = 524894 / 1
LCM(722,727) = 524894
Properties of LCM 722 and 727
(i) The LCM of 727 and 722 is associative
LCM of 722 and 727 = LCM of 727 and 722
Related Least Common Multiples of 722
Related Least Common Multiples of 727
Frequently Asked Questions on LCM of 722 and 727
1. What is the LCM of 722 and 727?
Answer: LCM of 722 and 727 is 524894.
2. What are the Factors of 722?
Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.
3. What are the Factors of 727?
Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.
4. How to Find the LCM of 722 and 727?
Answer:
Least Common Multiple of 722 and 727 = 524894
Step 1: Find the prime factorization of 722
722 = 2 x 19 x 19
Step 2: Find the prime factorization of 727
727 = 727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 524894 = 2 x 19 x 19 x 727
Step 4: Therefore, the least common multiple of 722 and 727 is 524894.