Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7229 and 7234 the smallest integer that is 52294586 that is divisible by both numbers.
Least Common Multiple (LCM) of 7229 and 7234 is 52294586.
LCM(7229,7234) = 52294586
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 7229 and 7234. First we will calculate the prime factors of 7229 and 7234.
Prime Factorization of 7229
7229 | 7229 |
1 |
Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:
7229 = 72291
Prime Factorization of 7234
2 | 7234 |
3617 | 3617 |
1 |
Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:
7234 = 21×36171
Now multiplying the highest exponent prime factors to calculate the LCM of 7229 and 7234.
LCM(7229,7234) = 21×36171×72291
LCM(7229,7234) = 52294586
Factors of 7229
List of positive integer factors of 7229 that divides 7229 without a remainder.
1, 7229
Factors of 7234
List of positive integer factors of 7234 that divides 7234 without a remainder.
1, 2, 3617, 7234
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7229 and 7234, than apply into the LCM equation.
GCF(7229,7234) = 1
LCM(7229,7234) = ( 7229 × 7234) / 1
LCM(7229,7234) = 52294586 / 1
LCM(7229,7234) = 52294586
(i) The LCM of 7234 and 7229 is associative
LCM of 7229 and 7234 = LCM of 7234 and 7229
1. What is the LCM of 7229 and 7234?
Answer: LCM of 7229 and 7234 is 52294586.
2. What are the Factors of 7229?
Answer: Factors of 7229 are 1, 7229. There are 2 integers that are factors of 7229. The greatest factor of 7229 is 7229.
3. What are the Factors of 7234?
Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.
4. How to Find the LCM of 7229 and 7234?
Answer:
Least Common Multiple of 7229 and 7234 = 52294586
Step 1: Find the prime factorization of 7229
7229 = 7229
Step 2: Find the prime factorization of 7234
7234 = 2 x 3617
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52294586 = 2 x 3617 x 7229
Step 4: Therefore, the least common multiple of 7229 and 7234 is 52294586.