Least Common Multiple of 1937 and 1943
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1937 and 1943 the smallest integer that is 3763591 that is divisible by both numbers.
Least Common Multiple (LCM) of 1937 and 1943 is 3763591.
LCM(1937,1943) = 3763591
LCM of 1937 and 1943
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1937 and 1943 by Prime method
- Least Common Multiple of 1937 and 1943 with GCF Formula
LCM of 1937 and 1943 is 3763591
Least common multiple can be found by multiplying the highest exponent prime factors of 1937 and 1943. First we will calculate the prime factors of 1937 and 1943.
Prime Factorization of 1937
| 13 | 1937 |
| 149 | 149 |
| 1 |
Prime factors of 1937 are 13,149. Prime factorization of 1937 in exponential form is:
1937 = 131×1491
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1937 and 1943.
LCM(1937,1943) = 131×291×671×1491
LCM(1937,1943) = 3763591
Factors of 1937
List of positive integer factors of 1937 that divides 1937 without a remainder.
1, 13, 149, 1937
Factors of 1943
List of positive integer factors of 1943 that divides 1943 without a remainder.
1, 29, 67, 1943
Least Common Multiple of 1937 and 1943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1937 and 1943, than apply into the LCM equation.
GCF(1937,1943) = 1
LCM(1937,1943) = ( 1937 × 1943) / 1
LCM(1937,1943) = 3763591 / 1
LCM(1937,1943) = 3763591
Properties of LCM 1937 and 1943
(i) The LCM of 1943 and 1937 is associative
LCM of 1937 and 1943 = LCM of 1943 and 1937
Related Least Common Multiples of 1937
Related Least Common Multiples of 1943
Frequently Asked Questions on LCM of 1937 and 1943
1. What is the LCM of 1937 and 1943?
Answer: LCM of 1937 and 1943 is 3763591.
2. What are the Factors of 1937?
Answer: Factors of 1937 are 1, 13, 149, 1937. There are 4 integers that are factors of 1937. The greatest factor of 1937 is 1937.
3. 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.
4. How to Find the LCM of 1937 and 1943?
Answer:
Least Common Multiple of 1937 and 1943 = 3763591
Step 1: Find the prime factorization of 1937
1937 = 13 x 149
Step 2: Find the prime factorization of 1943
1943 = 29 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3763591 = 13 x 29 x 67 x 149
Step 4: Therefore, the least common multiple of 1937 and 1943 is 3763591.