Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1943 and 1948 the smallest integer that is 3784964 that is divisible by both numbers.
Least Common Multiple (LCM) of 1943 and 1948 is 3784964.
LCM(1943,1948) = 3784964
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 1943 and 1948. First we will calculate the prime factors of 1943 and 1948.
Prime Factorization of 1943
29 | 1943 |
67 | 67 |
1 |
Prime factors of 1943 are 29,67. Prime factorization of 1943 in exponential form is:
1943 = 291×671
Prime Factorization of 1948
2 | 1948 |
2 | 974 |
487 | 487 |
1 |
Prime factors of 1948 are 2,487. Prime factorization of 1948 in exponential form is:
1948 = 22×4871
Now multiplying the highest exponent prime factors to calculate the LCM of 1943 and 1948.
LCM(1943,1948) = 22×291×671×4871
LCM(1943,1948) = 3784964
Factors of 1943
List of positive integer factors of 1943 that divides 1943 without a remainder.
1, 29, 67, 1943
Factors of 1948
List of positive integer factors of 1948 that divides 1948 without a remainder.
1, 2, 4, 487, 974, 1948
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1943 and 1948, than apply into the LCM equation.
GCF(1943,1948) = 1
LCM(1943,1948) = ( 1943 × 1948) / 1
LCM(1943,1948) = 3784964 / 1
LCM(1943,1948) = 3784964
(i) The LCM of 1948 and 1943 is associative
LCM of 1943 and 1948 = LCM of 1948 and 1943
1. What is the LCM of 1943 and 1948?
Answer: LCM of 1943 and 1948 is 3784964.
2. What are the Factors of 1943?
Answer: Factors of 1943 are 1, 29, 67, 1943. There are 4 integers that are factors of 1943. The greatest factor of 1943 is 1943.
3. What are the Factors of 1948?
Answer: Factors of 1948 are 1, 2, 4, 487, 974, 1948. There are 6 integers that are factors of 1948. The greatest factor of 1948 is 1948.
4. How to Find the LCM of 1943 and 1948?
Answer:
Least Common Multiple of 1943 and 1948 = 3784964
Step 1: Find the prime factorization of 1943
1943 = 29 x 67
Step 2: Find the prime factorization of 1948
1948 = 2 x 2 x 487
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3784964 = 2 x 2 x 29 x 67 x 487
Step 4: Therefore, the least common multiple of 1943 and 1948 is 3784964.