Least Common Multiple of 1732 and 1735

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 1735 the smallest integer that is 3005020 that is divisible by both numbers.

Least Common Multiple (LCM) of 1732 and 1735 is 3005020.

LCM(1732,1735) = 3005020

LCM of 1732 and 1735

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

LCM of:
and

Least Common Multiple of 1732 and 1735

LCM of 1732 and 1735 is 3005020

Least common multiple can be found by multiplying the highest exponent prime factors of 1732 and 1735. First we will calculate the prime factors of 1732 and 1735.

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 1735


5 1735
347 347
1

Prime factors of 1735 are 5,347. Prime factorization of 1735 in exponential form is:

1735 = 51×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 1732 and 1735.

LCM(1732,1735) = 22×51×3471×4331
LCM(1732,1735) = 3005020

Factors of 1732

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

1, 2, 4, 433, 866, 1732

Factors of 1735

List of positive integer factors of 1735 that divides 1735 without a remainder.

1, 5, 347, 1735

Least Common Multiple of 1732 and 1735 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 1735, than apply into the LCM equation.

GCF(1732,1735) = 1
LCM(1732,1735) = ( 1732 × 1735) / 1
LCM(1732,1735) = 3005020 / 1
LCM(1732,1735) = 3005020

Properties of LCM 1732 and 1735

(i) The LCM of 1735 and 1732 is associative

LCM of 1732 and 1735 = LCM of 1735 and 1732

Related Least Common Multiples of 1732

Related Least Common Multiples of 1735

Frequently Asked Questions on LCM of 1732 and 1735

1. What is the LCM of 1732 and 1735?

Answer: LCM of 1732 and 1735 is 3005020.

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 1735?

Answer: Factors of 1735 are 1, 5, 347, 1735. There are 4 integers that are factors of 1735. The greatest factor of 1735 is 1735.

4. How to Find the LCM of 1732 and 1735?

Answer:

Least Common Multiple of 1732 and 1735 = 3005020

Step 1: Find the prime factorization of 1732

1732 = 2 x 2 x 433

Step 2: Find the prime factorization of 1735

1735 = 5 x 347

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

LCM = 3005020 = 2 x 2 x 5 x 347 x 433

Step 4: Therefore, the least common multiple of 1732 and 1735 is 3005020.