Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7201 and 7207 the smallest integer that is 51897607 that is divisible by both numbers.
Least Common Multiple (LCM) of 7201 and 7207 is 51897607.
LCM(7201,7207) = 51897607
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 7201 and 7207. First we will calculate the prime factors of 7201 and 7207.
Prime Factorization of 7201
19 | 7201 |
379 | 379 |
1 |
Prime factors of 7201 are 19,379. Prime factorization of 7201 in exponential form is:
7201 = 191×3791
Prime Factorization of 7207
7207 | 7207 |
1 |
Prime factors of 7207 are 7207. Prime factorization of 7207 in exponential form is:
7207 = 72071
Now multiplying the highest exponent prime factors to calculate the LCM of 7201 and 7207.
LCM(7201,7207) = 191×3791×72071
LCM(7201,7207) = 51897607
Factors of 7201
List of positive integer factors of 7201 that divides 7201 without a remainder.
1, 19, 379, 7201
Factors of 7207
List of positive integer factors of 7207 that divides 7207 without a remainder.
1, 7207
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7201 and 7207, than apply into the LCM equation.
GCF(7201,7207) = 1
LCM(7201,7207) = ( 7201 × 7207) / 1
LCM(7201,7207) = 51897607 / 1
LCM(7201,7207) = 51897607
(i) The LCM of 7207 and 7201 is associative
LCM of 7201 and 7207 = LCM of 7207 and 7201
1. What is the LCM of 7201 and 7207?
Answer: LCM of 7201 and 7207 is 51897607.
2. What are the Factors of 7201?
Answer: Factors of 7201 are 1, 19, 379, 7201. There are 4 integers that are factors of 7201. The greatest factor of 7201 is 7201.
3. What are the Factors of 7207?
Answer: Factors of 7207 are 1, 7207. There are 2 integers that are factors of 7207. The greatest factor of 7207 is 7207.
4. How to Find the LCM of 7201 and 7207?
Answer:
Least Common Multiple of 7201 and 7207 = 51897607
Step 1: Find the prime factorization of 7201
7201 = 19 x 379
Step 2: Find the prime factorization of 7207
7207 = 7207
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51897607 = 19 x 379 x 7207
Step 4: Therefore, the least common multiple of 7201 and 7207 is 51897607.