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 4972 the smallest integer that is 24705868 that is divisible by both numbers.
Least Common Multiple (LCM) of 4969 and 4972 is 24705868.
LCM(4969,4972) = 24705868
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 4972. First we will calculate the prime factors of 4969 and 4972.
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 4972
2 | 4972 |
2 | 2486 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 4972 are 2, 11,113. Prime factorization of 4972 in exponential form is:
4972 = 22×111×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 4969 and 4972.
LCM(4969,4972) = 22×111×1131×49691
LCM(4969,4972) = 24705868
Factors of 4969
List of positive integer factors of 4969 that divides 4969 without a remainder.
1, 4969
Factors of 4972
List of positive integer factors of 4972 that divides 4972 without a remainder.
1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4969 and 4972, than apply into the LCM equation.
GCF(4969,4972) = 1
LCM(4969,4972) = ( 4969 × 4972) / 1
LCM(4969,4972) = 24705868 / 1
LCM(4969,4972) = 24705868
(i) The LCM of 4972 and 4969 is associative
LCM of 4969 and 4972 = LCM of 4972 and 4969
1. What is the LCM of 4969 and 4972?
Answer: LCM of 4969 and 4972 is 24705868.
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 4972?
Answer: Factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972. There are 12 integers that are factors of 4972. The greatest factor of 4972 is 4972.
4. How to Find the LCM of 4969 and 4972?
Answer:
Least Common Multiple of 4969 and 4972 = 24705868
Step 1: Find the prime factorization of 4969
4969 = 4969
Step 2: Find the prime factorization of 4972
4972 = 2 x 2 x 11 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24705868 = 2 x 2 x 11 x 113 x 4969
Step 4: Therefore, the least common multiple of 4969 and 4972 is 24705868.