Least Common Multiple of 149 and 151
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 151 the smallest integer that is 22499 that is divisible by both numbers.
Least Common Multiple (LCM) of 149 and 151 is 22499.
LCM(149,151) = 22499
LCM of 149 and 151
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 149 and 151 by Prime method
- Least Common Multiple of 149 and 151 with GCF Formula
LCM of 149 and 151 is 22499
Least common multiple can be found by multiplying the highest exponent prime factors of 149 and 151. First we will calculate the prime factors of 149 and 151.
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 151
| 151 | 151 |
| 1 |
Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:
151 = 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 149 and 151.
LCM(149,151) = 1491×1511
LCM(149,151) = 22499
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1, 149
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1, 151
Least Common Multiple of 149 and 151 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 151, than apply into the LCM equation.
GCF(149,151) = 1
LCM(149,151) = ( 149 × 151) / 1
LCM(149,151) = 22499 / 1
LCM(149,151) = 22499
Properties of LCM 149 and 151
(i) The LCM of 151 and 149 is associative
LCM of 149 and 151 = LCM of 151 and 149
Related Least Common Multiples of 149
Related Least Common Multiples of 151
Frequently Asked Questions on LCM of 149 and 151
1. What is the LCM of 149 and 151?
Answer: LCM of 149 and 151 is 22499.
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 151?
Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.
4. How to Find the LCM of 149 and 151?
Answer:
Least Common Multiple of 149 and 151 = 22499
Step 1: Find the prime factorization of 149
149 = 149
Step 2: Find the prime factorization of 151
151 = 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22499 = 149 x 151
Step 4: Therefore, the least common multiple of 149 and 151 is 22499.
