Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4969 and 4970 the smallest integer that is 24695930 that is divisible by both numbers.
Least Common Multiple (LCM) of 4969 and 4970 is 24695930.
LCM(4969,4970) = 24695930
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 4969 and 4970. First we will calculate the prime factors of 4969 and 4970.
Prime Factorization of 4969
4969 | 4969 |
1 |
Prime factors of 4969 are 4969. Prime factorization of 4969 in exponential form is:
4969 = 49691
Prime Factorization of 4970
2 | 4970 |
5 | 2485 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 4970 are 2, 5, 7,71. Prime factorization of 4970 in exponential form is:
4970 = 21×51×71×711
Now multiplying the highest exponent prime factors to calculate the LCM of 4969 and 4970.
LCM(4969,4970) = 21×51×71×711×49691
LCM(4969,4970) = 24695930
Factors of 4969
List of positive integer factors of 4969 that divides 4969 without a remainder.
1, 4969
Factors of 4970
List of positive integer factors of 4970 that divides 4970 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4969 and 4970, than apply into the LCM equation.
GCF(4969,4970) = 1
LCM(4969,4970) = ( 4969 × 4970) / 1
LCM(4969,4970) = 24695930 / 1
LCM(4969,4970) = 24695930
(i) The LCM of 4970 and 4969 is associative
LCM of 4969 and 4970 = LCM of 4970 and 4969
1. What is the LCM of 4969 and 4970?
Answer: LCM of 4969 and 4970 is 24695930.
2. What are the Factors of 4969?
Answer: Factors of 4969 are 1, 4969. There are 2 integers that are factors of 4969. The greatest factor of 4969 is 4969.
3. What are the Factors of 4970?
Answer: Factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970. There are 16 integers that are factors of 4970. The greatest factor of 4970 is 4970.
4. How to Find the LCM of 4969 and 4970?
Answer:
Least Common Multiple of 4969 and 4970 = 24695930
Step 1: Find the prime factorization of 4969
4969 = 4969
Step 2: Find the prime factorization of 4970
4970 = 2 x 5 x 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24695930 = 2 x 5 x 7 x 71 x 4969
Step 4: Therefore, the least common multiple of 4969 and 4970 is 24695930.