Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4467 and 4474 the smallest integer that is 19985358 that is divisible by both numbers.
Least Common Multiple (LCM) of 4467 and 4474 is 19985358.
LCM(4467,4474) = 19985358
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 4467 and 4474. First we will calculate the prime factors of 4467 and 4474.
Prime Factorization of 4467
3 | 4467 |
1489 | 1489 |
1 |
Prime factors of 4467 are 3,1489. Prime factorization of 4467 in exponential form is:
4467 = 31×14891
Prime Factorization of 4474
2 | 4474 |
2237 | 2237 |
1 |
Prime factors of 4474 are 2,2237. Prime factorization of 4474 in exponential form is:
4474 = 21×22371
Now multiplying the highest exponent prime factors to calculate the LCM of 4467 and 4474.
LCM(4467,4474) = 21×31×14891×22371
LCM(4467,4474) = 19985358
Factors of 4467
List of positive integer factors of 4467 that divides 4467 without a remainder.
1, 3, 1489, 4467
Factors of 4474
List of positive integer factors of 4474 that divides 4474 without a remainder.
1, 2, 2237, 4474
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4467 and 4474, than apply into the LCM equation.
GCF(4467,4474) = 1
LCM(4467,4474) = ( 4467 × 4474) / 1
LCM(4467,4474) = 19985358 / 1
LCM(4467,4474) = 19985358
(i) The LCM of 4474 and 4467 is associative
LCM of 4467 and 4474 = LCM of 4474 and 4467
1. What is the LCM of 4467 and 4474?
Answer: LCM of 4467 and 4474 is 19985358.
2. What are the Factors of 4467?
Answer: Factors of 4467 are 1, 3, 1489, 4467. There are 4 integers that are factors of 4467. The greatest factor of 4467 is 4467.
3. What are the Factors of 4474?
Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.
4. How to Find the LCM of 4467 and 4474?
Answer:
Least Common Multiple of 4467 and 4474 = 19985358
Step 1: Find the prime factorization of 4467
4467 = 3 x 1489
Step 2: Find the prime factorization of 4474
4474 = 2 x 2237
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19985358 = 2 x 3 x 1489 x 2237
Step 4: Therefore, the least common multiple of 4467 and 4474 is 19985358.