Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1942 and 1946 the smallest integer that is 1889566 that is divisible by both numbers.
Least Common Multiple (LCM) of 1942 and 1946 is 1889566.
LCM(1942,1946) = 1889566
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 1942 and 1946. First we will calculate the prime factors of 1942 and 1946.
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
Prime Factorization of 1946
2 | 1946 |
7 | 973 |
139 | 139 |
1 |
Prime factors of 1946 are 2, 7,139. Prime factorization of 1946 in exponential form is:
1946 = 21×71×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 1942 and 1946.
LCM(1942,1946) = 21×71×1391×9711
LCM(1942,1946) = 1889566
Factors of 1942
List of positive integer factors of 1942 that divides 1942 without a remainder.
1, 2, 971, 1942
Factors of 1946
List of positive integer factors of 1946 that divides 1946 without a remainder.
1, 2, 7, 14, 139, 278, 973, 1946
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1942 and 1946, than apply into the LCM equation.
GCF(1942,1946) = 2
LCM(1942,1946) = ( 1942 × 1946) / 2
LCM(1942,1946) = 3779132 / 2
LCM(1942,1946) = 1889566
(i) The LCM of 1946 and 1942 is associative
LCM of 1942 and 1946 = LCM of 1946 and 1942
1. What is the LCM of 1942 and 1946?
Answer: LCM of 1942 and 1946 is 1889566.
2. 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.
3. What are the Factors of 1946?
Answer: Factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946. There are 8 integers that are factors of 1946. The greatest factor of 1946 is 1946.
4. How to Find the LCM of 1942 and 1946?
Answer:
Least Common Multiple of 1942 and 1946 = 1889566
Step 1: Find the prime factorization of 1942
1942 = 2 x 971
Step 2: Find the prime factorization of 1946
1946 = 2 x 7 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1889566 = 2 x 7 x 139 x 971
Step 4: Therefore, the least common multiple of 1942 and 1946 is 1889566.