Least Common Multiple of 47302 and 47309
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47302 and 47309 the smallest integer that is 2237810318 that is divisible by both numbers.
Least Common Multiple (LCM) of 47302 and 47309 is 2237810318.
LCM(47302,47309) = 2237810318
LCM of 47302 and 47309
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 47302 and 47309 by Prime method
- Least Common Multiple of 47302 and 47309 with GCF Formula
LCM of 47302 and 47309 is 2237810318
Least common multiple can be found by multiplying the highest exponent prime factors of 47302 and 47309. First we will calculate the prime factors of 47302 and 47309.
Prime Factorization of 47302
| 2 | 47302 |
| 67 | 23651 |
| 353 | 353 |
| 1 |
Prime factors of 47302 are 2, 67,353. Prime factorization of 47302 in exponential form is:
47302 = 21×671×3531
Prime Factorization of 47309
| 47309 | 47309 |
| 1 |
Prime factors of 47309 are 47309. Prime factorization of 47309 in exponential form is:
47309 = 473091
Now multiplying the highest exponent prime factors to calculate the LCM of 47302 and 47309.
LCM(47302,47309) = 21×671×3531×473091
LCM(47302,47309) = 2237810318
Factors of 47302
List of positive integer factors of 47302 that divides 47302 without a remainder.
1, 2, 67, 134, 353, 706, 23651, 47302
Factors of 47309
List of positive integer factors of 47309 that divides 47309 without a remainder.
1, 47309
Least Common Multiple of 47302 and 47309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47302 and 47309, than apply into the LCM equation.
GCF(47302,47309) = 1
LCM(47302,47309) = ( 47302 × 47309) / 1
LCM(47302,47309) = 2237810318 / 1
LCM(47302,47309) = 2237810318
Properties of LCM 47302 and 47309
(i) The LCM of 47309 and 47302 is associative
LCM of 47302 and 47309 = LCM of 47309 and 47302
Related Least Common Multiples of 47302
Related Least Common Multiples of 47309
Frequently Asked Questions on LCM of 47302 and 47309
1. What is the LCM of 47302 and 47309?
Answer: LCM of 47302 and 47309 is 2237810318.
2. What are the Factors of 47302?
Answer: Factors of 47302 are 1, 2, 67, 134, 353, 706, 23651, 47302. There are 8 integers that are factors of 47302. The greatest factor of 47302 is 47302.
3. What are the Factors of 47309?
Answer: Factors of 47309 are 1, 47309. There are 2 integers that are factors of 47309. The greatest factor of 47309 is 47309.
4. How to Find the LCM of 47302 and 47309?
Answer:
Least Common Multiple of 47302 and 47309 = 2237810318
Step 1: Find the prime factorization of 47302
47302 = 2 x 67 x 353
Step 2: Find the prime factorization of 47309
47309 = 47309
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2237810318 = 2 x 67 x 353 x 47309
Step 4: Therefore, the least common multiple of 47302 and 47309 is 2237810318.