Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1930 and 1934 the smallest integer that is 1866310 that is divisible by both numbers.
Least Common Multiple (LCM) of 1930 and 1934 is 1866310.
LCM(1930,1934) = 1866310
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 1930 and 1934. First we will calculate the prime factors of 1930 and 1934.
Prime Factorization of 1930
2 | 1930 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 1930 are 2, 5,193. Prime factorization of 1930 in exponential form is:
1930 = 21×51×1931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1930 and 1934.
LCM(1930,1934) = 21×51×1931×9671
LCM(1930,1934) = 1866310
Factors of 1930
List of positive integer factors of 1930 that divides 1930 without a remainder.
1, 2, 5, 10, 193, 386, 965, 1930
Factors of 1934
List of positive integer factors of 1934 that divides 1934 without a remainder.
1, 2, 967, 1934
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1930 and 1934, than apply into the LCM equation.
GCF(1930,1934) = 2
LCM(1930,1934) = ( 1930 × 1934) / 2
LCM(1930,1934) = 3732620 / 2
LCM(1930,1934) = 1866310
(i) The LCM of 1934 and 1930 is associative
LCM of 1930 and 1934 = LCM of 1934 and 1930
1. What is the LCM of 1930 and 1934?
Answer: LCM of 1930 and 1934 is 1866310.
2. What are the Factors of 1930?
Answer: Factors of 1930 are 1, 2, 5, 10, 193, 386, 965, 1930. There are 8 integers that are factors of 1930. The greatest factor of 1930 is 1930.
3. 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.
4. How to Find the LCM of 1930 and 1934?
Answer:
Least Common Multiple of 1930 and 1934 = 1866310
Step 1: Find the prime factorization of 1930
1930 = 2 x 5 x 193
Step 2: Find the prime factorization of 1934
1934 = 2 x 967
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1866310 = 2 x 5 x 193 x 967
Step 4: Therefore, the least common multiple of 1930 and 1934 is 1866310.