Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4970 and 4978 the smallest integer that is 12370330 that is divisible by both numbers.
Least Common Multiple (LCM) of 4970 and 4978 is 12370330.
LCM(4970,4978) = 12370330
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 4970 and 4978. First we will calculate the prime factors of 4970 and 4978.
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
Prime Factorization of 4978
2 | 4978 |
19 | 2489 |
131 | 131 |
1 |
Prime factors of 4978 are 2, 19,131. Prime factorization of 4978 in exponential form is:
4978 = 21×191×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 4970 and 4978.
LCM(4970,4978) = 21×51×71×191×711×1311
LCM(4970,4978) = 12370330
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
Factors of 4978
List of positive integer factors of 4978 that divides 4978 without a remainder.
1, 2, 19, 38, 131, 262, 2489, 4978
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4970 and 4978, than apply into the LCM equation.
GCF(4970,4978) = 2
LCM(4970,4978) = ( 4970 × 4978) / 2
LCM(4970,4978) = 24740660 / 2
LCM(4970,4978) = 12370330
(i) The LCM of 4978 and 4970 is associative
LCM of 4970 and 4978 = LCM of 4978 and 4970
1. What is the LCM of 4970 and 4978?
Answer: LCM of 4970 and 4978 is 12370330.
2. 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.
3. What are the Factors of 4978?
Answer: Factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978. There are 8 integers that are factors of 4978. The greatest factor of 4978 is 4978.
4. How to Find the LCM of 4970 and 4978?
Answer:
Least Common Multiple of 4970 and 4978 = 12370330
Step 1: Find the prime factorization of 4970
4970 = 2 x 5 x 7 x 71
Step 2: Find the prime factorization of 4978
4978 = 2 x 19 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12370330 = 2 x 5 x 7 x 19 x 71 x 131
Step 4: Therefore, the least common multiple of 4970 and 4978 is 12370330.