Least Common Multiple of 1929 and 1937
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1929 and 1937 the smallest integer that is 3736473 that is divisible by both numbers.
Least Common Multiple (LCM) of 1929 and 1937 is 3736473.
LCM(1929,1937) = 3736473
LCM of 1929 and 1937
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1929 and 1937 by Prime method
- Least Common Multiple of 1929 and 1937 with GCF Formula
LCM of 1929 and 1937 is 3736473
Least common multiple can be found by multiplying the highest exponent prime factors of 1929 and 1937. First we will calculate the prime factors of 1929 and 1937.
Prime Factorization of 1929
| 3 | 1929 |
| 643 | 643 |
| 1 |
Prime factors of 1929 are 3,643. Prime factorization of 1929 in exponential form is:
1929 = 31×6431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1929 and 1937.
LCM(1929,1937) = 31×131×1491×6431
LCM(1929,1937) = 3736473
Factors of 1929
List of positive integer factors of 1929 that divides 1929 without a remainder.
1, 3, 643, 1929
Factors of 1937
List of positive integer factors of 1937 that divides 1937 without a remainder.
1, 13, 149, 1937
Least Common Multiple of 1929 and 1937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1929 and 1937, than apply into the LCM equation.
GCF(1929,1937) = 1
LCM(1929,1937) = ( 1929 × 1937) / 1
LCM(1929,1937) = 3736473 / 1
LCM(1929,1937) = 3736473
Properties of LCM 1929 and 1937
(i) The LCM of 1937 and 1929 is associative
LCM of 1929 and 1937 = LCM of 1937 and 1929
Related Least Common Multiples of 1929
Related Least Common Multiples of 1937
Frequently Asked Questions on LCM of 1929 and 1937
1. What is the LCM of 1929 and 1937?
Answer: LCM of 1929 and 1937 is 3736473.
2. What are the Factors of 1929?
Answer: Factors of 1929 are 1, 3, 643, 1929. There are 4 integers that are factors of 1929. The greatest factor of 1929 is 1929.
3. 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.
4. How to Find the LCM of 1929 and 1937?
Answer:
Least Common Multiple of 1929 and 1937 = 3736473
Step 1: Find the prime factorization of 1929
1929 = 3 x 643
Step 2: Find the prime factorization of 1937
1937 = 13 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3736473 = 3 x 13 x 149 x 643
Step 4: Therefore, the least common multiple of 1929 and 1937 is 3736473.
