Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4708 and 4713 the smallest integer that is 22188804 that is divisible by both numbers.
Least Common Multiple (LCM) of 4708 and 4713 is 22188804.
LCM(4708,4713) = 22188804
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 4708 and 4713. First we will calculate the prime factors of 4708 and 4713.
Prime Factorization of 4708
2 | 4708 |
2 | 2354 |
11 | 1177 |
107 | 107 |
1 |
Prime factors of 4708 are 2, 11,107. Prime factorization of 4708 in exponential form is:
4708 = 22×111×1071
Prime Factorization of 4713
3 | 4713 |
1571 | 1571 |
1 |
Prime factors of 4713 are 3,1571. Prime factorization of 4713 in exponential form is:
4713 = 31×15711
Now multiplying the highest exponent prime factors to calculate the LCM of 4708 and 4713.
LCM(4708,4713) = 22×31×111×1071×15711
LCM(4708,4713) = 22188804
Factors of 4708
List of positive integer factors of 4708 that divides 4708 without a remainder.
1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708
Factors of 4713
List of positive integer factors of 4713 that divides 4713 without a remainder.
1, 3, 1571, 4713
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4708 and 4713, than apply into the LCM equation.
GCF(4708,4713) = 1
LCM(4708,4713) = ( 4708 × 4713) / 1
LCM(4708,4713) = 22188804 / 1
LCM(4708,4713) = 22188804
(i) The LCM of 4713 and 4708 is associative
LCM of 4708 and 4713 = LCM of 4713 and 4708
1. What is the LCM of 4708 and 4713?
Answer: LCM of 4708 and 4713 is 22188804.
2. What are the Factors of 4708?
Answer: Factors of 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708. There are 12 integers that are factors of 4708. The greatest factor of 4708 is 4708.
3. What are the Factors of 4713?
Answer: Factors of 4713 are 1, 3, 1571, 4713. There are 4 integers that are factors of 4713. The greatest factor of 4713 is 4713.
4. How to Find the LCM of 4708 and 4713?
Answer:
Least Common Multiple of 4708 and 4713 = 22188804
Step 1: Find the prime factorization of 4708
4708 = 2 x 2 x 11 x 107
Step 2: Find the prime factorization of 4713
4713 = 3 x 1571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22188804 = 2 x 2 x 3 x 11 x 107 x 1571
Step 4: Therefore, the least common multiple of 4708 and 4713 is 22188804.