Least Common Multiple of 3748 and 3755

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 3755 the smallest integer that is 14073740 that is divisible by both numbers.

Least Common Multiple (LCM) of 3748 and 3755 is 14073740.

LCM(3748,3755) = 14073740

LCM of 3748 and 3755

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3748 and 3755

LCM of 3748 and 3755 is 14073740

Least common multiple can be found by multiplying the highest exponent prime factors of 3748 and 3755. First we will calculate the prime factors of 3748 and 3755.

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 3755


5 3755
751 751
1

Prime factors of 3755 are 5,751. Prime factorization of 3755 in exponential form is:

3755 = 51×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 3748 and 3755.

LCM(3748,3755) = 22×51×7511×9371
LCM(3748,3755) = 14073740

Factors of 3748

List of positive integer factors of 3748 that divides 3748 without a remainder.

1, 2, 4, 937, 1874, 3748

Factors of 3755

List of positive integer factors of 3755 that divides 3755 without a remainder.

1, 5, 751, 3755

Least Common Multiple of 3748 and 3755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3748 and 3755, than apply into the LCM equation.

GCF(3748,3755) = 1
LCM(3748,3755) = ( 3748 × 3755) / 1
LCM(3748,3755) = 14073740 / 1
LCM(3748,3755) = 14073740

Properties of LCM 3748 and 3755

(i) The LCM of 3755 and 3748 is associative

LCM of 3748 and 3755 = LCM of 3755 and 3748

Related Least Common Multiples of 3748

Related Least Common Multiples of 3755

Frequently Asked Questions on LCM of 3748 and 3755

1. What is the LCM of 3748 and 3755?

Answer: LCM of 3748 and 3755 is 14073740.

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 3755?

Answer: Factors of 3755 are 1, 5, 751, 3755. There are 4 integers that are factors of 3755. The greatest factor of 3755 is 3755.

4. How to Find the LCM of 3748 and 3755?

Answer:

Least Common Multiple of 3748 and 3755 = 14073740

Step 1: Find the prime factorization of 3748

3748 = 2 x 2 x 937

Step 2: Find the prime factorization of 3755

3755 = 5 x 751

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 14073740 = 2 x 2 x 5 x 751 x 937

Step 4: Therefore, the least common multiple of 3748 and 3755 is 14073740.