Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7301 and 7309 the smallest integer that is 53363009 that is divisible by both numbers.
Least Common Multiple (LCM) of 7301 and 7309 is 53363009.
LCM(7301,7309) = 53363009
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 7301 and 7309. First we will calculate the prime factors of 7301 and 7309.
Prime Factorization of 7301
7 | 7301 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 7301 are 7,149. Prime factorization of 7301 in exponential form is:
7301 = 72×1491
Prime Factorization of 7309
7309 | 7309 |
1 |
Prime factors of 7309 are 7309. Prime factorization of 7309 in exponential form is:
7309 = 73091
Now multiplying the highest exponent prime factors to calculate the LCM of 7301 and 7309.
LCM(7301,7309) = 72×1491×73091
LCM(7301,7309) = 53363009
Factors of 7301
List of positive integer factors of 7301 that divides 7301 without a remainder.
1, 7, 49, 149, 1043, 7301
Factors of 7309
List of positive integer factors of 7309 that divides 7309 without a remainder.
1, 7309
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7301 and 7309, than apply into the LCM equation.
GCF(7301,7309) = 1
LCM(7301,7309) = ( 7301 × 7309) / 1
LCM(7301,7309) = 53363009 / 1
LCM(7301,7309) = 53363009
(i) The LCM of 7309 and 7301 is associative
LCM of 7301 and 7309 = LCM of 7309 and 7301
1. What is the LCM of 7301 and 7309?
Answer: LCM of 7301 and 7309 is 53363009.
2. What are the Factors of 7301?
Answer: Factors of 7301 are 1, 7, 49, 149, 1043, 7301. There are 6 integers that are factors of 7301. The greatest factor of 7301 is 7301.
3. What are the Factors of 7309?
Answer: Factors of 7309 are 1, 7309. There are 2 integers that are factors of 7309. The greatest factor of 7309 is 7309.
4. How to Find the LCM of 7301 and 7309?
Answer:
Least Common Multiple of 7301 and 7309 = 53363009
Step 1: Find the prime factorization of 7301
7301 = 7 x 7 x 149
Step 2: Find the prime factorization of 7309
7309 = 7309
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53363009 = 7 x 7 x 149 x 7309
Step 4: Therefore, the least common multiple of 7301 and 7309 is 53363009.