Least Common Multiple of 98 and 99
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 99 the smallest integer that is 9702 that is divisible by both numbers.
Least Common Multiple (LCM) of 98 and 99 is 9702.
LCM(98,99) = 9702
LCM of 98 and 99
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 98 and 99 by Prime method
- Least Common Multiple of 98 and 99 with GCF Formula
LCM of 98 and 99 is 9702
Least common multiple can be found by multiplying the highest exponent prime factors of 98 and 99. First we will calculate the prime factors of 98 and 99.
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 99
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 99 are 3,11. Prime factorization of 99 in exponential form is:
99 = 32×111
Now multiplying the highest exponent prime factors to calculate the LCM of 98 and 99.
LCM(98,99) = 21×32×72×111
LCM(98,99) = 9702
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Least Common Multiple of 98 and 99 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 99, than apply into the LCM equation.
GCF(98,99) = 1
LCM(98,99) = ( 98 × 99) / 1
LCM(98,99) = 9702 / 1
LCM(98,99) = 9702
Properties of LCM 98 and 99
(i) The LCM of 99 and 98 is associative
LCM of 98 and 99 = LCM of 99 and 98
Related Least Common Multiples of 98
Related Least Common Multiples of 99
Frequently Asked Questions on LCM of 98 and 99
1. What is the LCM of 98 and 99?
Answer: LCM of 98 and 99 is 9702.
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 99?
Answer: Factors of 99 are 1, 3, 9, 11, 33, 99. There are 6 integers that are factors of 99. The greatest factor of 99 is 99.
4. How to Find the LCM of 98 and 99?
Answer:
Least Common Multiple of 98 and 99 = 9702
Step 1: Find the prime factorization of 98
98 = 2 x 7 x 7
Step 2: Find the prime factorization of 99
99 = 3 x 3 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9702 = 2 x 3 x 3 x 7 x 7 x 11
Step 4: Therefore, the least common multiple of 98 and 99 is 9702.