Least Common Multiple of 3749 and 3757

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 3757 the smallest integer that is 14084993 that is divisible by both numbers.

Least Common Multiple (LCM) of 3749 and 3757 is 14084993.

LCM(3749,3757) = 14084993

LCM of 3749 and 3757

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

LCM of:
and

Least Common Multiple of 3749 and 3757

LCM of 3749 and 3757 is 14084993

Least common multiple can be found by multiplying the highest exponent prime factors of 3749 and 3757. First we will calculate the prime factors of 3749 and 3757.

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 3757


13 3757
17 289
17 17
1

Prime factors of 3757 are 13,17. Prime factorization of 3757 in exponential form is:

3757 = 131×172

Now multiplying the highest exponent prime factors to calculate the LCM of 3749 and 3757.

LCM(3749,3757) = 131×172×231×1631
LCM(3749,3757) = 14084993

Factors of 3749

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

1, 23, 163, 3749

Factors of 3757

List of positive integer factors of 3757 that divides 3757 without a remainder.

1, 13, 17, 221, 289, 3757

Least Common Multiple of 3749 and 3757 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 3757, than apply into the LCM equation.

GCF(3749,3757) = 1
LCM(3749,3757) = ( 3749 × 3757) / 1
LCM(3749,3757) = 14084993 / 1
LCM(3749,3757) = 14084993

Properties of LCM 3749 and 3757

(i) The LCM of 3757 and 3749 is associative

LCM of 3749 and 3757 = LCM of 3757 and 3749

Frequently Asked Questions on LCM of 3749 and 3757

1. What is the LCM of 3749 and 3757?

Answer: LCM of 3749 and 3757 is 14084993.

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 3757?

Answer: Factors of 3757 are 1, 13, 17, 221, 289, 3757. There are 6 integers that are factors of 3757. The greatest factor of 3757 is 3757.

4. How to Find the LCM of 3749 and 3757?

Answer:

Least Common Multiple of 3749 and 3757 = 14084993

Step 1: Find the prime factorization of 3749

3749 = 23 x 163

Step 2: Find the prime factorization of 3757

3757 = 13 x 17 x 17

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

LCM = 14084993 = 13 x 17 x 17 x 23 x 163

Step 4: Therefore, the least common multiple of 3749 and 3757 is 14084993.