Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4727 and 4733 the smallest integer that is 22372891 that is divisible by both numbers.
Least Common Multiple (LCM) of 4727 and 4733 is 22372891.
LCM(4727,4733) = 22372891
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 4727 and 4733. First we will calculate the prime factors of 4727 and 4733.
Prime Factorization of 4727
29 | 4727 |
163 | 163 |
1 |
Prime factors of 4727 are 29,163. Prime factorization of 4727 in exponential form is:
4727 = 291×1631
Prime Factorization of 4733
4733 | 4733 |
1 |
Prime factors of 4733 are 4733. Prime factorization of 4733 in exponential form is:
4733 = 47331
Now multiplying the highest exponent prime factors to calculate the LCM of 4727 and 4733.
LCM(4727,4733) = 291×1631×47331
LCM(4727,4733) = 22372891
Factors of 4727
List of positive integer factors of 4727 that divides 4727 without a remainder.
1, 29, 163, 4727
Factors of 4733
List of positive integer factors of 4733 that divides 4733 without a remainder.
1, 4733
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4727 and 4733, than apply into the LCM equation.
GCF(4727,4733) = 1
LCM(4727,4733) = ( 4727 × 4733) / 1
LCM(4727,4733) = 22372891 / 1
LCM(4727,4733) = 22372891
(i) The LCM of 4733 and 4727 is associative
LCM of 4727 and 4733 = LCM of 4733 and 4727
1. What is the LCM of 4727 and 4733?
Answer: LCM of 4727 and 4733 is 22372891.
2. What are the Factors of 4727?
Answer: Factors of 4727 are 1, 29, 163, 4727. There are 4 integers that are factors of 4727. The greatest factor of 4727 is 4727.
3. What are the Factors of 4733?
Answer: Factors of 4733 are 1, 4733. There are 2 integers that are factors of 4733. The greatest factor of 4733 is 4733.
4. How to Find the LCM of 4727 and 4733?
Answer:
Least Common Multiple of 4727 and 4733 = 22372891
Step 1: Find the prime factorization of 4727
4727 = 29 x 163
Step 2: Find the prime factorization of 4733
4733 = 4733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22372891 = 29 x 163 x 4733
Step 4: Therefore, the least common multiple of 4727 and 4733 is 22372891.