Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3748 and 3754 the smallest integer that is 7034996 that is divisible by both numbers.
Least Common Multiple (LCM) of 3748 and 3754 is 7034996.
LCM(3748,3754) = 7034996
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 3748 and 3754. First we will calculate the prime factors of 3748 and 3754.
Prime Factorization of 3748
2 | 3748 |
2 | 1874 |
937 | 937 |
1 |
Prime factors of 3748 are 2,937. Prime factorization of 3748 in exponential form is:
3748 = 22×9371
Prime Factorization of 3754
2 | 3754 |
1877 | 1877 |
1 |
Prime factors of 3754 are 2,1877. Prime factorization of 3754 in exponential form is:
3754 = 21×18771
Now multiplying the highest exponent prime factors to calculate the LCM of 3748 and 3754.
LCM(3748,3754) = 22×9371×18771
LCM(3748,3754) = 7034996
Factors of 3748
List of positive integer factors of 3748 that divides 3748 without a remainder.
1, 2, 4, 937, 1874, 3748
Factors of 3754
List of positive integer factors of 3754 that divides 3754 without a remainder.
1, 2, 1877, 3754
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3748 and 3754, than apply into the LCM equation.
GCF(3748,3754) = 2
LCM(3748,3754) = ( 3748 × 3754) / 2
LCM(3748,3754) = 14069992 / 2
LCM(3748,3754) = 7034996
(i) The LCM of 3754 and 3748 is associative
LCM of 3748 and 3754 = LCM of 3754 and 3748
1. What is the LCM of 3748 and 3754?
Answer: LCM of 3748 and 3754 is 7034996.
2. What are the Factors of 3748?
Answer: Factors of 3748 are 1, 2, 4, 937, 1874, 3748. There are 6 integers that are factors of 3748. The greatest factor of 3748 is 3748.
3. What are the Factors of 3754?
Answer: Factors of 3754 are 1, 2, 1877, 3754. There are 4 integers that are factors of 3754. The greatest factor of 3754 is 3754.
4. How to Find the LCM of 3748 and 3754?
Answer:
Least Common Multiple of 3748 and 3754 = 7034996
Step 1: Find the prime factorization of 3748
3748 = 2 x 2 x 937
Step 2: Find the prime factorization of 3754
3754 = 2 x 1877
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7034996 = 2 x 2 x 937 x 1877
Step 4: Therefore, the least common multiple of 3748 and 3754 is 7034996.