Least Common Multiple of 1756 and 1760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1756 and 1760 the smallest integer that is 772640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1756 and 1760 is 772640.

LCM(1756,1760) = 772640

LCM of 1756 and 1760

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

LCM of:
and

Least Common Multiple of 1756 and 1760

LCM of 1756 and 1760 is 772640

Least common multiple can be found by multiplying the highest exponent prime factors of 1756 and 1760. First we will calculate the prime factors of 1756 and 1760.

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

Prime Factorization of 1760


2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 1760 are 2, 5,11. Prime factorization of 1760 in exponential form is:

1760 = 25×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1756 and 1760.

LCM(1756,1760) = 25×51×111×4391
LCM(1756,1760) = 772640

Factors of 1756

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

1, 2, 4, 439, 878, 1756

Factors of 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760

Least Common Multiple of 1756 and 1760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1756 and 1760, than apply into the LCM equation.

GCF(1756,1760) = 4
LCM(1756,1760) = ( 1756 × 1760) / 4
LCM(1756,1760) = 3090560 / 4
LCM(1756,1760) = 772640

Properties of LCM 1756 and 1760

(i) The LCM of 1760 and 1756 is associative

LCM of 1756 and 1760 = LCM of 1760 and 1756

Related Least Common Multiples of 1756

Related Least Common Multiples of 1760

Frequently Asked Questions on LCM of 1756 and 1760

1. What is the LCM of 1756 and 1760?

Answer: LCM of 1756 and 1760 is 772640.

2. 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.

3. What are the Factors of 1760?

Answer: Factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760. There are 24 integers that are factors of 1760. The greatest factor of 1760 is 1760.

4. How to Find the LCM of 1756 and 1760?

Answer:

Least Common Multiple of 1756 and 1760 = 772640

Step 1: Find the prime factorization of 1756

1756 = 2 x 2 x 439

Step 2: Find the prime factorization of 1760

1760 = 2 x 2 x 2 x 2 x 2 x 5 x 11

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

LCM = 772640 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 439

Step 4: Therefore, the least common multiple of 1756 and 1760 is 772640.