Least Common Multiple of 1748 and 1756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1748 and 1756 the smallest integer that is 767372 that is divisible by both numbers.

Least Common Multiple (LCM) of 1748 and 1756 is 767372.

LCM(1748,1756) = 767372

LCM of 1748 and 1756

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

LCM of:
and

Least Common Multiple of 1748 and 1756

LCM of 1748 and 1756 is 767372

Least common multiple can be found by multiplying the highest exponent prime factors of 1748 and 1756. First we will calculate the prime factors of 1748 and 1756.

Prime Factorization of 1748


2 1748
2 874
19 437
23 23
1

Prime factors of 1748 are 2, 19,23. Prime factorization of 1748 in exponential form is:

1748 = 22×191×231

Prime Factorization of 1756


2 1756
2 878
439 439
1

Prime factors of 1756 are 2,439. Prime factorization of 1756 in exponential form is:

1756 = 22×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 1748 and 1756.

LCM(1748,1756) = 22×191×231×4391
LCM(1748,1756) = 767372

Factors of 1748

List of positive integer factors of 1748 that divides 1748 without a remainder.

1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748

Factors of 1756

List of positive integer factors of 1756 that divides 1756 without a remainder.

1, 2, 4, 439, 878, 1756

Least Common Multiple of 1748 and 1756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1748 and 1756, than apply into the LCM equation.

GCF(1748,1756) = 4
LCM(1748,1756) = ( 1748 × 1756) / 4
LCM(1748,1756) = 3069488 / 4
LCM(1748,1756) = 767372

Properties of LCM 1748 and 1756

(i) The LCM of 1756 and 1748 is associative

LCM of 1748 and 1756 = LCM of 1756 and 1748

Related Least Common Multiples of 1748

Related Least Common Multiples of 1756

Frequently Asked Questions on LCM of 1748 and 1756

1. What is the LCM of 1748 and 1756?

Answer: LCM of 1748 and 1756 is 767372.

2. What are the Factors of 1748?

Answer: Factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748. There are 12 integers that are factors of 1748. The greatest factor of 1748 is 1748.

3. What are the Factors of 1756?

Answer: Factors of 1756 are 1, 2, 4, 439, 878, 1756. There are 6 integers that are factors of 1756. The greatest factor of 1756 is 1756.

4. How to Find the LCM of 1748 and 1756?

Answer:

Least Common Multiple of 1748 and 1756 = 767372

Step 1: Find the prime factorization of 1748

1748 = 2 x 2 x 19 x 23

Step 2: Find the prime factorization of 1756

1756 = 2 x 2 x 439

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

LCM = 767372 = 2 x 2 x 19 x 23 x 439

Step 4: Therefore, the least common multiple of 1748 and 1756 is 767372.