Least Common Multiple of 149 and 155
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 149 and 155 the smallest integer that is 23095 that is divisible by both numbers.
Least Common Multiple (LCM) of 149 and 155 is 23095.
LCM(149,155) = 23095
LCM of 149 and 155
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 149 and 155 by Prime method
- Least Common Multiple of 149 and 155 with GCF Formula
LCM of 149 and 155 is 23095
Least common multiple can be found by multiplying the highest exponent prime factors of 149 and 155. First we will calculate the prime factors of 149 and 155.
Prime Factorization of 149
| 149 | 149 |
| 1 |
Prime factors of 149 are 149. Prime factorization of 149 in exponential form is:
149 = 1491
Prime Factorization of 155
| 5 | 155 |
| 31 | 31 |
| 1 |
Prime factors of 155 are 5,31. Prime factorization of 155 in exponential form is:
155 = 51×311
Now multiplying the highest exponent prime factors to calculate the LCM of 149 and 155.
LCM(149,155) = 51×311×1491
LCM(149,155) = 23095
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1, 149
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Least Common Multiple of 149 and 155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 149 and 155, than apply into the LCM equation.
GCF(149,155) = 1
LCM(149,155) = ( 149 × 155) / 1
LCM(149,155) = 23095 / 1
LCM(149,155) = 23095
Properties of LCM 149 and 155
(i) The LCM of 155 and 149 is associative
LCM of 149 and 155 = LCM of 155 and 149
Related Least Common Multiples of 149
Related Least Common Multiples of 155
Frequently Asked Questions on LCM of 149 and 155
1. What is the LCM of 149 and 155?
Answer: LCM of 149 and 155 is 23095.
2. What are the Factors of 149?
Answer: Factors of 149 are 1, 149. There are 2 integers that are factors of 149. The greatest factor of 149 is 149.
3. What are the Factors of 155?
Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.
4. How to Find the LCM of 149 and 155?
Answer:
Least Common Multiple of 149 and 155 = 23095
Step 1: Find the prime factorization of 149
149 = 149
Step 2: Find the prime factorization of 155
155 = 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23095 = 5 x 31 x 149
Step 4: Therefore, the least common multiple of 149 and 155 is 23095.