Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1940 and 1941 the smallest integer that is 3765540 that is divisible by both numbers.
Least Common Multiple (LCM) of 1940 and 1941 is 3765540.
LCM(1940,1941) = 3765540
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 1940 and 1941. First we will calculate the prime factors of 1940 and 1941.
Prime Factorization of 1940
2 | 1940 |
2 | 970 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 1940 are 2, 5,97. Prime factorization of 1940 in exponential form is:
1940 = 22×51×971
Prime Factorization of 1941
3 | 1941 |
647 | 647 |
1 |
Prime factors of 1941 are 3,647. Prime factorization of 1941 in exponential form is:
1941 = 31×6471
Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1941.
LCM(1940,1941) = 22×31×51×971×6471
LCM(1940,1941) = 3765540
Factors of 1940
List of positive integer factors of 1940 that divides 1940 without a remainder.
1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940
Factors of 1941
List of positive integer factors of 1941 that divides 1941 without a remainder.
1, 3, 647, 1941
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1940 and 1941, than apply into the LCM equation.
GCF(1940,1941) = 1
LCM(1940,1941) = ( 1940 × 1941) / 1
LCM(1940,1941) = 3765540 / 1
LCM(1940,1941) = 3765540
(i) The LCM of 1941 and 1940 is associative
LCM of 1940 and 1941 = LCM of 1941 and 1940
1. What is the LCM of 1940 and 1941?
Answer: LCM of 1940 and 1941 is 3765540.
2. What are the Factors of 1940?
Answer: Factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940. There are 12 integers that are factors of 1940. The greatest factor of 1940 is 1940.
3. What are the Factors of 1941?
Answer: Factors of 1941 are 1, 3, 647, 1941. There are 4 integers that are factors of 1941. The greatest factor of 1941 is 1941.
4. How to Find the LCM of 1940 and 1941?
Answer:
Least Common Multiple of 1940 and 1941 = 3765540
Step 1: Find the prime factorization of 1940
1940 = 2 x 2 x 5 x 97
Step 2: Find the prime factorization of 1941
1941 = 3 x 647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3765540 = 2 x 2 x 3 x 5 x 97 x 647
Step 4: Therefore, the least common multiple of 1940 and 1941 is 3765540.