Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4699 and 4705 the smallest integer that is 22108795 that is divisible by both numbers.
Least Common Multiple (LCM) of 4699 and 4705 is 22108795.
LCM(4699,4705) = 22108795
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 4699 and 4705. First we will calculate the prime factors of 4699 and 4705.
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
Prime Factorization of 4705
5 | 4705 |
941 | 941 |
1 |
Prime factors of 4705 are 5,941. Prime factorization of 4705 in exponential form is:
4705 = 51×9411
Now multiplying the highest exponent prime factors to calculate the LCM of 4699 and 4705.
LCM(4699,4705) = 51×371×1271×9411
LCM(4699,4705) = 22108795
Factors of 4699
List of positive integer factors of 4699 that divides 4699 without a remainder.
1, 37, 127, 4699
Factors of 4705
List of positive integer factors of 4705 that divides 4705 without a remainder.
1, 5, 941, 4705
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4699 and 4705, than apply into the LCM equation.
GCF(4699,4705) = 1
LCM(4699,4705) = ( 4699 × 4705) / 1
LCM(4699,4705) = 22108795 / 1
LCM(4699,4705) = 22108795
(i) The LCM of 4705 and 4699 is associative
LCM of 4699 and 4705 = LCM of 4705 and 4699
1. What is the LCM of 4699 and 4705?
Answer: LCM of 4699 and 4705 is 22108795.
2. 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.
3. What are the Factors of 4705?
Answer: Factors of 4705 are 1, 5, 941, 4705. There are 4 integers that are factors of 4705. The greatest factor of 4705 is 4705.
4. How to Find the LCM of 4699 and 4705?
Answer:
Least Common Multiple of 4699 and 4705 = 22108795
Step 1: Find the prime factorization of 4699
4699 = 37 x 127
Step 2: Find the prime factorization of 4705
4705 = 5 x 941
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22108795 = 5 x 37 x 127 x 941
Step 4: Therefore, the least common multiple of 4699 and 4705 is 22108795.