Least Common Multiple of 95 and 98
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 95 and 98 the smallest integer that is 9310 that is divisible by both numbers.
Least Common Multiple (LCM) of 95 and 98 is 9310.
LCM(95,98) = 9310
LCM of 95 and 98
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 95 and 98 by Prime method
- Least Common Multiple of 95 and 98 with GCF Formula
LCM of 95 and 98 is 9310
Least common multiple can be found by multiplying the highest exponent prime factors of 95 and 98. First we will calculate the prime factors of 95 and 98.
Prime Factorization of 95
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 95 are 5,19. Prime factorization of 95 in exponential form is:
95 = 51×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 95 and 98.
LCM(95,98) = 21×51×72×191
LCM(95,98) = 9310
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Least Common Multiple of 95 and 98 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95 and 98, than apply into the LCM equation.
GCF(95,98) = 1
LCM(95,98) = ( 95 × 98) / 1
LCM(95,98) = 9310 / 1
LCM(95,98) = 9310
Properties of LCM 95 and 98
(i) The LCM of 98 and 95 is associative
LCM of 95 and 98 = LCM of 98 and 95
Related Least Common Multiples of 95
Related Least Common Multiples of 98
Frequently Asked Questions on LCM of 95 and 98
1. What is the LCM of 95 and 98?
Answer: LCM of 95 and 98 is 9310.
2. What are the Factors of 95?
Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.
3. 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.
4. How to Find the LCM of 95 and 98?
Answer:
Least Common Multiple of 95 and 98 = 9310
Step 1: Find the prime factorization of 95
95 = 5 x 19
Step 2: Find the prime factorization of 98
98 = 2 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9310 = 2 x 5 x 7 x 7 x 19
Step 4: Therefore, the least common multiple of 95 and 98 is 9310.
