Least Common Multiple of 1732 and 1740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1732 and 1740 the smallest integer that is 753420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1732 and 1740 is 753420.

LCM(1732,1740) = 753420

LCM of 1732 and 1740

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

LCM of:
and

Least Common Multiple of 1732 and 1740

LCM of 1732 and 1740 is 753420

Least common multiple can be found by multiplying the highest exponent prime factors of 1732 and 1740. First we will calculate the prime factors of 1732 and 1740.

Prime Factorization of 1732


2 1732
2 866
433 433
1

Prime factors of 1732 are 2,433. Prime factorization of 1732 in exponential form is:

1732 = 22×4331

Prime Factorization of 1740


2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 1740 are 2, 3, 5,29. Prime factorization of 1740 in exponential form is:

1740 = 22×31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1732 and 1740.

LCM(1732,1740) = 22×31×51×291×4331
LCM(1732,1740) = 753420

Factors of 1732

List of positive integer factors of 1732 that divides 1732 without a remainder.

1, 2, 4, 433, 866, 1732

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740

Least Common Multiple of 1732 and 1740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1732 and 1740, than apply into the LCM equation.

GCF(1732,1740) = 4
LCM(1732,1740) = ( 1732 × 1740) / 4
LCM(1732,1740) = 3013680 / 4
LCM(1732,1740) = 753420

Properties of LCM 1732 and 1740

(i) The LCM of 1740 and 1732 is associative

LCM of 1732 and 1740 = LCM of 1740 and 1732

Related Least Common Multiples of 1732

Related Least Common Multiples of 1740

Frequently Asked Questions on LCM of 1732 and 1740

1. What is the LCM of 1732 and 1740?

Answer: LCM of 1732 and 1740 is 753420.

2. What are the Factors of 1732?

Answer: Factors of 1732 are 1, 2, 4, 433, 866, 1732. There are 6 integers that are factors of 1732. The greatest factor of 1732 is 1732.

3. What are the Factors of 1740?

Answer: Factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. There are 24 integers that are factors of 1740. The greatest factor of 1740 is 1740.

4. How to Find the LCM of 1732 and 1740?

Answer:

Least Common Multiple of 1732 and 1740 = 753420

Step 1: Find the prime factorization of 1732

1732 = 2 x 2 x 433

Step 2: Find the prime factorization of 1740

1740 = 2 x 2 x 3 x 5 x 29

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

LCM = 753420 = 2 x 2 x 3 x 5 x 29 x 433

Step 4: Therefore, the least common multiple of 1732 and 1740 is 753420.