Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4967 and 4975 the smallest integer that is 24710825 that is divisible by both numbers.
Least Common Multiple (LCM) of 4967 and 4975 is 24710825.
LCM(4967,4975) = 24710825
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 4967 and 4975. First we will calculate the prime factors of 4967 and 4975.
Prime Factorization of 4967
4967 | 4967 |
1 |
Prime factors of 4967 are 4967. Prime factorization of 4967 in exponential form is:
4967 = 49671
Prime Factorization of 4975
5 | 4975 |
5 | 995 |
199 | 199 |
1 |
Prime factors of 4975 are 5,199. Prime factorization of 4975 in exponential form is:
4975 = 52×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 4967 and 4975.
LCM(4967,4975) = 52×1991×49671
LCM(4967,4975) = 24710825
Factors of 4967
List of positive integer factors of 4967 that divides 4967 without a remainder.
1, 4967
Factors of 4975
List of positive integer factors of 4975 that divides 4975 without a remainder.
1, 5, 25, 199, 995, 4975
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4967 and 4975, than apply into the LCM equation.
GCF(4967,4975) = 1
LCM(4967,4975) = ( 4967 × 4975) / 1
LCM(4967,4975) = 24710825 / 1
LCM(4967,4975) = 24710825
(i) The LCM of 4975 and 4967 is associative
LCM of 4967 and 4975 = LCM of 4975 and 4967
1. What is the LCM of 4967 and 4975?
Answer: LCM of 4967 and 4975 is 24710825.
2. What are the Factors of 4967?
Answer: Factors of 4967 are 1, 4967. There are 2 integers that are factors of 4967. The greatest factor of 4967 is 4967.
3. What are the Factors of 4975?
Answer: Factors of 4975 are 1, 5, 25, 199, 995, 4975. There are 6 integers that are factors of 4975. The greatest factor of 4975 is 4975.
4. How to Find the LCM of 4967 and 4975?
Answer:
Least Common Multiple of 4967 and 4975 = 24710825
Step 1: Find the prime factorization of 4967
4967 = 4967
Step 2: Find the prime factorization of 4975
4975 = 5 x 5 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24710825 = 5 x 5 x 199 x 4967
Step 4: Therefore, the least common multiple of 4967 and 4975 is 24710825.