Least Common Multiple of 3749 and 3754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3749 and 3754 the smallest integer that is 14073746 that is divisible by both numbers.

Least Common Multiple (LCM) of 3749 and 3754 is 14073746.

LCM(3749,3754) = 14073746

LCM of 3749 and 3754

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

LCM of:
and

Least Common Multiple of 3749 and 3754

LCM of 3749 and 3754 is 14073746

Least common multiple can be found by multiplying the highest exponent prime factors of 3749 and 3754. First we will calculate the prime factors of 3749 and 3754.

Prime Factorization of 3749


23 3749
163 163
1

Prime factors of 3749 are 23,163. Prime factorization of 3749 in exponential form is:

3749 = 231×1631

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 3749 and 3754.

LCM(3749,3754) = 21×231×1631×18771
LCM(3749,3754) = 14073746

Factors of 3749

List of positive integer factors of 3749 that divides 3749 without a remainder.

1, 23, 163, 3749

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1, 2, 1877, 3754

Least Common Multiple of 3749 and 3754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3749 and 3754, than apply into the LCM equation.

GCF(3749,3754) = 1
LCM(3749,3754) = ( 3749 × 3754) / 1
LCM(3749,3754) = 14073746 / 1
LCM(3749,3754) = 14073746

Properties of LCM 3749 and 3754

(i) The LCM of 3754 and 3749 is associative

LCM of 3749 and 3754 = LCM of 3754 and 3749

Related Least Common Multiples of 3749

Related Least Common Multiples of 3754

Frequently Asked Questions on LCM of 3749 and 3754

1. What is the LCM of 3749 and 3754?

Answer: LCM of 3749 and 3754 is 14073746.

2. What are the Factors of 3749?

Answer: Factors of 3749 are 1, 23, 163, 3749. There are 4 integers that are factors of 3749. The greatest factor of 3749 is 3749.

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 3749 and 3754?

Answer:

Least Common Multiple of 3749 and 3754 = 14073746

Step 1: Find the prime factorization of 3749

3749 = 23 x 163

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 = 14073746 = 2 x 23 x 163 x 1877

Step 4: Therefore, the least common multiple of 3749 and 3754 is 14073746.