Least Common Multiple of 147 and 149
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 147 and 149 the smallest integer that is 21903 that is divisible by both numbers.
Least Common Multiple (LCM) of 147 and 149 is 21903.
LCM(147,149) = 21903
LCM of 147 and 149
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 147 and 149 by Prime method
- Least Common Multiple of 147 and 149 with GCF Formula
LCM of 147 and 149 is 21903
Least common multiple can be found by multiplying the highest exponent prime factors of 147 and 149. First we will calculate the prime factors of 147 and 149.
Prime Factorization of 147
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:
147 = 31×72
Prime Factorization of 149
| 149 | 149 |
| 1 |
Prime factors of 149 are 149. Prime factorization of 149 in exponential form is:
149 = 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 147 and 149.
LCM(147,149) = 31×72×1491
LCM(147,149) = 21903
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1, 149
Least Common Multiple of 147 and 149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 147 and 149, than apply into the LCM equation.
GCF(147,149) = 1
LCM(147,149) = ( 147 × 149) / 1
LCM(147,149) = 21903 / 1
LCM(147,149) = 21903
Properties of LCM 147 and 149
(i) The LCM of 149 and 147 is associative
LCM of 147 and 149 = LCM of 149 and 147
Related Least Common Multiples of 147
Related Least Common Multiples of 149
Frequently Asked Questions on LCM of 147 and 149
1. What is the LCM of 147 and 149?
Answer: LCM of 147 and 149 is 21903.
2. What are the Factors of 147?
Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.
3. 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.
4. How to Find the LCM of 147 and 149?
Answer:
Least Common Multiple of 147 and 149 = 21903
Step 1: Find the prime factorization of 147
147 = 3 x 7 x 7
Step 2: Find the prime factorization of 149
149 = 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21903 = 3 x 7 x 7 x 149
Step 4: Therefore, the least common multiple of 147 and 149 is 21903.
