Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1934 and 1942 the smallest integer that is 1877914 that is divisible by both numbers.
Least Common Multiple (LCM) of 1934 and 1942 is 1877914.
LCM(1934,1942) = 1877914
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 1934 and 1942. First we will calculate the prime factors of 1934 and 1942.
Prime Factorization of 1934
2 | 1934 |
967 | 967 |
1 |
Prime factors of 1934 are 2,967. Prime factorization of 1934 in exponential form is:
1934 = 21×9671
Prime Factorization of 1942
2 | 1942 |
971 | 971 |
1 |
Prime factors of 1942 are 2,971. Prime factorization of 1942 in exponential form is:
1942 = 21×9711
Now multiplying the highest exponent prime factors to calculate the LCM of 1934 and 1942.
LCM(1934,1942) = 21×9671×9711
LCM(1934,1942) = 1877914
Factors of 1934
List of positive integer factors of 1934 that divides 1934 without a remainder.
1, 2, 967, 1934
Factors of 1942
List of positive integer factors of 1942 that divides 1942 without a remainder.
1, 2, 971, 1942
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1934 and 1942, than apply into the LCM equation.
GCF(1934,1942) = 2
LCM(1934,1942) = ( 1934 × 1942) / 2
LCM(1934,1942) = 3755828 / 2
LCM(1934,1942) = 1877914
(i) The LCM of 1942 and 1934 is associative
LCM of 1934 and 1942 = LCM of 1942 and 1934
1. What is the LCM of 1934 and 1942?
Answer: LCM of 1934 and 1942 is 1877914.
2. What are the Factors of 1934?
Answer: Factors of 1934 are 1, 2, 967, 1934. There are 4 integers that are factors of 1934. The greatest factor of 1934 is 1934.
3. What are the Factors of 1942?
Answer: Factors of 1942 are 1, 2, 971, 1942. There are 4 integers that are factors of 1942. The greatest factor of 1942 is 1942.
4. How to Find the LCM of 1934 and 1942?
Answer:
Least Common Multiple of 1934 and 1942 = 1877914
Step 1: Find the prime factorization of 1934
1934 = 2 x 967
Step 2: Find the prime factorization of 1942
1942 = 2 x 971
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1877914 = 2 x 967 x 971
Step 4: Therefore, the least common multiple of 1934 and 1942 is 1877914.