Least Common Multiple of 1757 and 1764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1757 and 1764 the smallest integer that is 442764 that is divisible by both numbers.

Least Common Multiple (LCM) of 1757 and 1764 is 442764.

LCM(1757,1764) = 442764

LCM of 1757 and 1764

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

LCM of:
and

Least Common Multiple of 1757 and 1764

LCM of 1757 and 1764 is 442764

Least common multiple can be found by multiplying the highest exponent prime factors of 1757 and 1764. First we will calculate the prime factors of 1757 and 1764.

Prime Factorization of 1757


7 1757
251 251
1

Prime factors of 1757 are 7,251. Prime factorization of 1757 in exponential form is:

1757 = 71×2511

Prime Factorization of 1764


2 1764
2 882
3 441
3 147
7 49
7 7
1

Prime factors of 1764 are 2, 3,7. Prime factorization of 1764 in exponential form is:

1764 = 22×32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 1757 and 1764.

LCM(1757,1764) = 22×32×72×2511
LCM(1757,1764) = 442764

Factors of 1757

List of positive integer factors of 1757 that divides 1757 without a remainder.

1, 7, 251, 1757

Factors of 1764

List of positive integer factors of 1764 that divides 1764 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764

Least Common Multiple of 1757 and 1764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1757 and 1764, than apply into the LCM equation.

GCF(1757,1764) = 7
LCM(1757,1764) = ( 1757 × 1764) / 7
LCM(1757,1764) = 3099348 / 7
LCM(1757,1764) = 442764

Properties of LCM 1757 and 1764

(i) The LCM of 1764 and 1757 is associative

LCM of 1757 and 1764 = LCM of 1764 and 1757

Related Least Common Multiples of 1757

Related Least Common Multiples of 1764

Frequently Asked Questions on LCM of 1757 and 1764

1. What is the LCM of 1757 and 1764?

Answer: LCM of 1757 and 1764 is 442764.

2. What are the Factors of 1757?

Answer: Factors of 1757 are 1, 7, 251, 1757. There are 4 integers that are factors of 1757. The greatest factor of 1757 is 1757.

3. What are the Factors of 1764?

Answer: Factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764. There are 27 integers that are factors of 1764. The greatest factor of 1764 is 1764.

4. How to Find the LCM of 1757 and 1764?

Answer:

Least Common Multiple of 1757 and 1764 = 442764

Step 1: Find the prime factorization of 1757

1757 = 7 x 251

Step 2: Find the prime factorization of 1764

1764 = 2 x 2 x 3 x 3 x 7 x 7

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

LCM = 442764 = 2 x 2 x 3 x 3 x 7 x 7 x 251

Step 4: Therefore, the least common multiple of 1757 and 1764 is 442764.