Least Common Multiple of 98 and 100
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 98 and 100 the smallest integer that is 4900 that is divisible by both numbers.
Least Common Multiple (LCM) of 98 and 100 is 4900.
LCM(98,100) = 4900
LCM of 98 and 100
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 98 and 100 by Prime method
- Least Common Multiple of 98 and 100 with GCF Formula
LCM of 98 and 100 is 4900
Least common multiple can be found by multiplying the highest exponent prime factors of 98 and 100. First we will calculate the prime factors of 98 and 100.
Prime Factorization of 98
| 2 | 98 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 98 are 2,7. Prime factorization of 98 in exponential form is:
98 = 21×72
Prime Factorization of 100
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 100 are 2,5. Prime factorization of 100 in exponential form is:
100 = 22×52
Now multiplying the highest exponent prime factors to calculate the LCM of 98 and 100.
LCM(98,100) = 22×52×72
LCM(98,100) = 4900
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Least Common Multiple of 98 and 100 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98 and 100, than apply into the LCM equation.
GCF(98,100) = 2
LCM(98,100) = ( 98 × 100) / 2
LCM(98,100) = 9800 / 2
LCM(98,100) = 4900
Properties of LCM 98 and 100
(i) The LCM of 100 and 98 is associative
LCM of 98 and 100 = LCM of 100 and 98
Related Least Common Multiples of 98
Related Least Common Multiples of 100
Frequently Asked Questions on LCM of 98 and 100
1. What is the LCM of 98 and 100?
Answer: LCM of 98 and 100 is 4900.
2. What are the Factors of 98?
Answer: Factors of 98 are 1, 2, 7, 14, 49, 98. There are 6 integers that are factors of 98. The greatest factor of 98 is 98.
3. What are the Factors of 100?
Answer: Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. There are 9 integers that are factors of 100. The greatest factor of 100 is 100.
4. How to Find the LCM of 98 and 100?
Answer:
Least Common Multiple of 98 and 100 = 4900
Step 1: Find the prime factorization of 98
98 = 2 x 7 x 7
Step 2: Find the prime factorization of 100
100 = 2 x 2 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4900 = 2 x 2 x 5 x 5 x 7 x 7
Step 4: Therefore, the least common multiple of 98 and 100 is 4900.