Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 139 and 143 the smallest integer that is 19877 that is divisible by both numbers.
Least Common Multiple (LCM) of 139 and 143 is 19877.
LCM(139,143) = 19877
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 139 and 143. First we will calculate the prime factors of 139 and 143.
Prime Factorization of 139
139 | 139 |
1 |
Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:
139 = 1391
Prime Factorization of 143
11 | 143 |
13 | 13 |
1 |
Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:
143 = 111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 139 and 143.
LCM(139,143) = 111×131×1391
LCM(139,143) = 19877
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1, 11, 13, 143
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 139 and 143, than apply into the LCM equation.
GCF(139,143) = 1
LCM(139,143) = ( 139 × 143) / 1
LCM(139,143) = 19877 / 1
LCM(139,143) = 19877
(i) The LCM of 143 and 139 is associative
LCM of 139 and 143 = LCM of 143 and 139
1. What is the LCM of 139 and 143?
Answer: LCM of 139 and 143 is 19877.
2. What are the Factors of 139?
Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.
3. What are the Factors of 143?
Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.
4. How to Find the LCM of 139 and 143?
Answer:
Least Common Multiple of 139 and 143 = 19877
Step 1: Find the prime factorization of 139
139 = 139
Step 2: Find the prime factorization of 143
143 = 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19877 = 11 x 13 x 139
Step 4: Therefore, the least common multiple of 139 and 143 is 19877.