Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4207 and 4209 the smallest integer that is 17707263 that is divisible by both numbers.
Least Common Multiple (LCM) of 4207 and 4209 is 17707263.
LCM(4207,4209) = 17707263
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 4207 and 4209. First we will calculate the prime factors of 4207 and 4209.
Prime Factorization of 4207
7 | 4207 |
601 | 601 |
1 |
Prime factors of 4207 are 7,601. Prime factorization of 4207 in exponential form is:
4207 = 71×6011
Prime Factorization of 4209
3 | 4209 |
23 | 1403 |
61 | 61 |
1 |
Prime factors of 4209 are 3, 23,61. Prime factorization of 4209 in exponential form is:
4209 = 31×231×611
Now multiplying the highest exponent prime factors to calculate the LCM of 4207 and 4209.
LCM(4207,4209) = 31×71×231×611×6011
LCM(4207,4209) = 17707263
Factors of 4207
List of positive integer factors of 4207 that divides 4207 without a remainder.
1, 7, 601, 4207
Factors of 4209
List of positive integer factors of 4209 that divides 4209 without a remainder.
1, 3, 23, 61, 69, 183, 1403, 4209
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4207 and 4209, than apply into the LCM equation.
GCF(4207,4209) = 1
LCM(4207,4209) = ( 4207 × 4209) / 1
LCM(4207,4209) = 17707263 / 1
LCM(4207,4209) = 17707263
(i) The LCM of 4209 and 4207 is associative
LCM of 4207 and 4209 = LCM of 4209 and 4207
1. What is the LCM of 4207 and 4209?
Answer: LCM of 4207 and 4209 is 17707263.
2. What are the Factors of 4207?
Answer: Factors of 4207 are 1, 7, 601, 4207. There are 4 integers that are factors of 4207. The greatest factor of 4207 is 4207.
3. What are the Factors of 4209?
Answer: Factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209. There are 8 integers that are factors of 4209. The greatest factor of 4209 is 4209.
4. How to Find the LCM of 4207 and 4209?
Answer:
Least Common Multiple of 4207 and 4209 = 17707263
Step 1: Find the prime factorization of 4207
4207 = 7 x 601
Step 2: Find the prime factorization of 4209
4209 = 3 x 23 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17707263 = 3 x 7 x 23 x 61 x 601
Step 4: Therefore, the least common multiple of 4207 and 4209 is 17707263.