Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7723 and 7727 the smallest integer that is 59675621 that is divisible by both numbers.
Least Common Multiple (LCM) of 7723 and 7727 is 59675621.
LCM(7723,7727) = 59675621
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 7723 and 7727. First we will calculate the prime factors of 7723 and 7727.
Prime Factorization of 7723
7723 | 7723 |
1 |
Prime factors of 7723 are 7723. Prime factorization of 7723 in exponential form is:
7723 = 77231
Prime Factorization of 7727
7727 | 7727 |
1 |
Prime factors of 7727 are 7727. Prime factorization of 7727 in exponential form is:
7727 = 77271
Now multiplying the highest exponent prime factors to calculate the LCM of 7723 and 7727.
LCM(7723,7727) = 77231×77271
LCM(7723,7727) = 59675621
Factors of 7723
List of positive integer factors of 7723 that divides 7723 without a remainder.
1, 7723
Factors of 7727
List of positive integer factors of 7727 that divides 7727 without a remainder.
1, 7727
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7723 and 7727, than apply into the LCM equation.
GCF(7723,7727) = 1
LCM(7723,7727) = ( 7723 × 7727) / 1
LCM(7723,7727) = 59675621 / 1
LCM(7723,7727) = 59675621
(i) The LCM of 7727 and 7723 is associative
LCM of 7723 and 7727 = LCM of 7727 and 7723
1. What is the LCM of 7723 and 7727?
Answer: LCM of 7723 and 7727 is 59675621.
2. What are the Factors of 7723?
Answer: Factors of 7723 are 1, 7723. There are 2 integers that are factors of 7723. The greatest factor of 7723 is 7723.
3. What are the Factors of 7727?
Answer: Factors of 7727 are 1, 7727. There are 2 integers that are factors of 7727. The greatest factor of 7727 is 7727.
4. How to Find the LCM of 7723 and 7727?
Answer:
Least Common Multiple of 7723 and 7727 = 59675621
Step 1: Find the prime factorization of 7723
7723 = 7723
Step 2: Find the prime factorization of 7727
7727 = 7727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59675621 = 7723 x 7727
Step 4: Therefore, the least common multiple of 7723 and 7727 is 59675621.