Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7302 and 7307 the smallest integer that is 53355714 that is divisible by both numbers.
Least Common Multiple (LCM) of 7302 and 7307 is 53355714.
LCM(7302,7307) = 53355714
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 7302 and 7307. First we will calculate the prime factors of 7302 and 7307.
Prime Factorization of 7302
2 | 7302 |
3 | 3651 |
1217 | 1217 |
1 |
Prime factors of 7302 are 2, 3,1217. Prime factorization of 7302 in exponential form is:
7302 = 21×31×12171
Prime Factorization of 7307
7307 | 7307 |
1 |
Prime factors of 7307 are 7307. Prime factorization of 7307 in exponential form is:
7307 = 73071
Now multiplying the highest exponent prime factors to calculate the LCM of 7302 and 7307.
LCM(7302,7307) = 21×31×12171×73071
LCM(7302,7307) = 53355714
Factors of 7302
List of positive integer factors of 7302 that divides 7302 without a remainder.
1, 2, 3, 6, 1217, 2434, 3651, 7302
Factors of 7307
List of positive integer factors of 7307 that divides 7307 without a remainder.
1, 7307
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7302 and 7307, than apply into the LCM equation.
GCF(7302,7307) = 1
LCM(7302,7307) = ( 7302 × 7307) / 1
LCM(7302,7307) = 53355714 / 1
LCM(7302,7307) = 53355714
(i) The LCM of 7307 and 7302 is associative
LCM of 7302 and 7307 = LCM of 7307 and 7302
1. What is the LCM of 7302 and 7307?
Answer: LCM of 7302 and 7307 is 53355714.
2. What are the Factors of 7302?
Answer: Factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302. There are 8 integers that are factors of 7302. The greatest factor of 7302 is 7302.
3. What are the Factors of 7307?
Answer: Factors of 7307 are 1, 7307. There are 2 integers that are factors of 7307. The greatest factor of 7307 is 7307.
4. How to Find the LCM of 7302 and 7307?
Answer:
Least Common Multiple of 7302 and 7307 = 53355714
Step 1: Find the prime factorization of 7302
7302 = 2 x 3 x 1217
Step 2: Find the prime factorization of 7307
7307 = 7307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53355714 = 2 x 3 x 1217 x 7307
Step 4: Therefore, the least common multiple of 7302 and 7307 is 53355714.