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 141 the smallest integer that is 19599 that is divisible by both numbers.
Least Common Multiple (LCM) of 139 and 141 is 19599.
LCM(139,141) = 19599
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 141. First we will calculate the prime factors of 139 and 141.
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 141
3 | 141 |
47 | 47 |
1 |
Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:
141 = 31×471
Now multiplying the highest exponent prime factors to calculate the LCM of 139 and 141.
LCM(139,141) = 31×471×1391
LCM(139,141) = 19599
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 139 and 141, than apply into the LCM equation.
GCF(139,141) = 1
LCM(139,141) = ( 139 × 141) / 1
LCM(139,141) = 19599 / 1
LCM(139,141) = 19599
(i) The LCM of 141 and 139 is associative
LCM of 139 and 141 = LCM of 141 and 139
1. What is the LCM of 139 and 141?
Answer: LCM of 139 and 141 is 19599.
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 141?
Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.
4. How to Find the LCM of 139 and 141?
Answer:
Least Common Multiple of 139 and 141 = 19599
Step 1: Find the prime factorization of 139
139 = 139
Step 2: Find the prime factorization of 141
141 = 3 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19599 = 3 x 47 x 139
Step 4: Therefore, the least common multiple of 139 and 141 is 19599.