Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4687 and 4691 the smallest integer that is 21986717 that is divisible by both numbers.
Least Common Multiple (LCM) of 4687 and 4691 is 21986717.
LCM(4687,4691) = 21986717
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 4687 and 4691. First we will calculate the prime factors of 4687 and 4691.
Prime Factorization of 4687
43 | 4687 |
109 | 109 |
1 |
Prime factors of 4687 are 43,109. Prime factorization of 4687 in exponential form is:
4687 = 431×1091
Prime Factorization of 4691
4691 | 4691 |
1 |
Prime factors of 4691 are 4691. Prime factorization of 4691 in exponential form is:
4691 = 46911
Now multiplying the highest exponent prime factors to calculate the LCM of 4687 and 4691.
LCM(4687,4691) = 431×1091×46911
LCM(4687,4691) = 21986717
Factors of 4687
List of positive integer factors of 4687 that divides 4687 without a remainder.
1, 43, 109, 4687
Factors of 4691
List of positive integer factors of 4691 that divides 4691 without a remainder.
1, 4691
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4687 and 4691, than apply into the LCM equation.
GCF(4687,4691) = 1
LCM(4687,4691) = ( 4687 × 4691) / 1
LCM(4687,4691) = 21986717 / 1
LCM(4687,4691) = 21986717
(i) The LCM of 4691 and 4687 is associative
LCM of 4687 and 4691 = LCM of 4691 and 4687
1. What is the LCM of 4687 and 4691?
Answer: LCM of 4687 and 4691 is 21986717.
2. What are the Factors of 4687?
Answer: Factors of 4687 are 1, 43, 109, 4687. There are 4 integers that are factors of 4687. The greatest factor of 4687 is 4687.
3. What are the Factors of 4691?
Answer: Factors of 4691 are 1, 4691. There are 2 integers that are factors of 4691. The greatest factor of 4691 is 4691.
4. How to Find the LCM of 4687 and 4691?
Answer:
Least Common Multiple of 4687 and 4691 = 21986717
Step 1: Find the prime factorization of 4687
4687 = 43 x 109
Step 2: Find the prime factorization of 4691
4691 = 4691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21986717 = 43 x 109 x 4691
Step 4: Therefore, the least common multiple of 4687 and 4691 is 21986717.