Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34207 and 34213 the smallest integer that is 1170324091 that is divisible by both numbers.
Least Common Multiple (LCM) of 34207 and 34213 is 1170324091.
LCM(34207,34213) = 1170324091
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 34207 and 34213. First we will calculate the prime factors of 34207 and 34213.
Prime Factorization of 34207
79 | 34207 |
433 | 433 |
1 |
Prime factors of 34207 are 79,433. Prime factorization of 34207 in exponential form is:
34207 = 791×4331
Prime Factorization of 34213
34213 | 34213 |
1 |
Prime factors of 34213 are 34213. Prime factorization of 34213 in exponential form is:
34213 = 342131
Now multiplying the highest exponent prime factors to calculate the LCM of 34207 and 34213.
LCM(34207,34213) = 791×4331×342131
LCM(34207,34213) = 1170324091
Factors of 34207
List of positive integer factors of 34207 that divides 34207 without a remainder.
1, 79, 433, 34207
Factors of 34213
List of positive integer factors of 34213 that divides 34213 without a remainder.
1, 34213
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34207 and 34213, than apply into the LCM equation.
GCF(34207,34213) = 1
LCM(34207,34213) = ( 34207 × 34213) / 1
LCM(34207,34213) = 1170324091 / 1
LCM(34207,34213) = 1170324091
(i) The LCM of 34213 and 34207 is associative
LCM of 34207 and 34213 = LCM of 34213 and 34207
1. What is the LCM of 34207 and 34213?
Answer: LCM of 34207 and 34213 is 1170324091.
2. What are the Factors of 34207?
Answer: Factors of 34207 are 1, 79, 433, 34207. There are 4 integers that are factors of 34207. The greatest factor of 34207 is 34207.
3. What are the Factors of 34213?
Answer: Factors of 34213 are 1, 34213. There are 2 integers that are factors of 34213. The greatest factor of 34213 is 34213.
4. How to Find the LCM of 34207 and 34213?
Answer:
Least Common Multiple of 34207 and 34213 = 1170324091
Step 1: Find the prime factorization of 34207
34207 = 79 x 433
Step 2: Find the prime factorization of 34213
34213 = 34213
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1170324091 = 79 x 433 x 34213
Step 4: Therefore, the least common multiple of 34207 and 34213 is 1170324091.