Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4695 and 4699 the smallest integer that is 22061805 that is divisible by both numbers.
Least Common Multiple (LCM) of 4695 and 4699 is 22061805.
LCM(4695,4699) = 22061805
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 4695 and 4699. First we will calculate the prime factors of 4695 and 4699.
Prime Factorization of 4695
3 | 4695 |
5 | 1565 |
313 | 313 |
1 |
Prime factors of 4695 are 3, 5,313. Prime factorization of 4695 in exponential form is:
4695 = 31×51×3131
Prime Factorization of 4699
37 | 4699 |
127 | 127 |
1 |
Prime factors of 4699 are 37,127. Prime factorization of 4699 in exponential form is:
4699 = 371×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 4695 and 4699.
LCM(4695,4699) = 31×51×371×1271×3131
LCM(4695,4699) = 22061805
Factors of 4695
List of positive integer factors of 4695 that divides 4695 without a remainder.
1, 3, 5, 15, 313, 939, 1565, 4695
Factors of 4699
List of positive integer factors of 4699 that divides 4699 without a remainder.
1, 37, 127, 4699
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4695 and 4699, than apply into the LCM equation.
GCF(4695,4699) = 1
LCM(4695,4699) = ( 4695 × 4699) / 1
LCM(4695,4699) = 22061805 / 1
LCM(4695,4699) = 22061805
(i) The LCM of 4699 and 4695 is associative
LCM of 4695 and 4699 = LCM of 4699 and 4695
1. What is the LCM of 4695 and 4699?
Answer: LCM of 4695 and 4699 is 22061805.
2. What are the Factors of 4695?
Answer: Factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695. There are 8 integers that are factors of 4695. The greatest factor of 4695 is 4695.
3. What are the Factors of 4699?
Answer: Factors of 4699 are 1, 37, 127, 4699. There are 4 integers that are factors of 4699. The greatest factor of 4699 is 4699.
4. How to Find the LCM of 4695 and 4699?
Answer:
Least Common Multiple of 4695 and 4699 = 22061805
Step 1: Find the prime factorization of 4695
4695 = 3 x 5 x 313
Step 2: Find the prime factorization of 4699
4699 = 37 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22061805 = 3 x 5 x 37 x 127 x 313
Step 4: Therefore, the least common multiple of 4695 and 4699 is 22061805.