Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1958 and 1963 the smallest integer that is 3843554 that is divisible by both numbers.
Least Common Multiple (LCM) of 1958 and 1963 is 3843554.
LCM(1958,1963) = 3843554
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 1958 and 1963. First we will calculate the prime factors of 1958 and 1963.
Prime Factorization of 1958
2 | 1958 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 1958 are 2, 11,89. Prime factorization of 1958 in exponential form is:
1958 = 21×111×891
Prime Factorization of 1963
13 | 1963 |
151 | 151 |
1 |
Prime factors of 1963 are 13,151. Prime factorization of 1963 in exponential form is:
1963 = 131×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 1958 and 1963.
LCM(1958,1963) = 21×111×131×891×1511
LCM(1958,1963) = 3843554
Factors of 1958
List of positive integer factors of 1958 that divides 1958 without a remainder.
1, 2, 11, 22, 89, 178, 979, 1958
Factors of 1963
List of positive integer factors of 1963 that divides 1963 without a remainder.
1, 13, 151, 1963
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1958 and 1963, than apply into the LCM equation.
GCF(1958,1963) = 1
LCM(1958,1963) = ( 1958 × 1963) / 1
LCM(1958,1963) = 3843554 / 1
LCM(1958,1963) = 3843554
(i) The LCM of 1963 and 1958 is associative
LCM of 1958 and 1963 = LCM of 1963 and 1958
1. What is the LCM of 1958 and 1963?
Answer: LCM of 1958 and 1963 is 3843554.
2. What are the Factors of 1958?
Answer: Factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958. There are 8 integers that are factors of 1958. The greatest factor of 1958 is 1958.
3. What are the Factors of 1963?
Answer: Factors of 1963 are 1, 13, 151, 1963. There are 4 integers that are factors of 1963. The greatest factor of 1963 is 1963.
4. How to Find the LCM of 1958 and 1963?
Answer:
Least Common Multiple of 1958 and 1963 = 3843554
Step 1: Find the prime factorization of 1958
1958 = 2 x 11 x 89
Step 2: Find the prime factorization of 1963
1963 = 13 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3843554 = 2 x 11 x 13 x 89 x 151
Step 4: Therefore, the least common multiple of 1958 and 1963 is 3843554.