Least Common Multiple of 1732 and 1736

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 1736 the smallest integer that is 751688 that is divisible by both numbers.

Least Common Multiple (LCM) of 1732 and 1736 is 751688.

LCM(1732,1736) = 751688

LCM of 1732 and 1736

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

LCM of:
and

Least Common Multiple of 1732 and 1736

LCM of 1732 and 1736 is 751688

Least common multiple can be found by multiplying the highest exponent prime factors of 1732 and 1736. First we will calculate the prime factors of 1732 and 1736.

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 1736


2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 1736 are 2, 7,31. Prime factorization of 1736 in exponential form is:

1736 = 23×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1732 and 1736.

LCM(1732,1736) = 23×71×311×4331
LCM(1732,1736) = 751688

Factors of 1732

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

1, 2, 4, 433, 866, 1732

Factors of 1736

List of positive integer factors of 1736 that divides 1736 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736

Least Common Multiple of 1732 and 1736 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 1736, than apply into the LCM equation.

GCF(1732,1736) = 4
LCM(1732,1736) = ( 1732 × 1736) / 4
LCM(1732,1736) = 3006752 / 4
LCM(1732,1736) = 751688

Properties of LCM 1732 and 1736

(i) The LCM of 1736 and 1732 is associative

LCM of 1732 and 1736 = LCM of 1736 and 1732

Related Least Common Multiples of 1732

Related Least Common Multiples of 1736

Frequently Asked Questions on LCM of 1732 and 1736

1. What is the LCM of 1732 and 1736?

Answer: LCM of 1732 and 1736 is 751688.

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 1736?

Answer: Factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. There are 16 integers that are factors of 1736. The greatest factor of 1736 is 1736.

4. How to Find the LCM of 1732 and 1736?

Answer:

Least Common Multiple of 1732 and 1736 = 751688

Step 1: Find the prime factorization of 1732

1732 = 2 x 2 x 433

Step 2: Find the prime factorization of 1736

1736 = 2 x 2 x 2 x 7 x 31

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

LCM = 751688 = 2 x 2 x 2 x 7 x 31 x 433

Step 4: Therefore, the least common multiple of 1732 and 1736 is 751688.