Least Common Multiple of 1722 and 1724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1722 and 1724 the smallest integer that is 1484364 that is divisible by both numbers.

Least Common Multiple (LCM) of 1722 and 1724 is 1484364.

LCM(1722,1724) = 1484364

LCM of 1722 and 1724

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

LCM of:
and

Least Common Multiple of 1722 and 1724

LCM of 1722 and 1724 is 1484364

Least common multiple can be found by multiplying the highest exponent prime factors of 1722 and 1724. First we will calculate the prime factors of 1722 and 1724.

Prime Factorization of 1722


2 1722
3 861
7 287
41 41
1

Prime factors of 1722 are 2, 3, 7,41. Prime factorization of 1722 in exponential form is:

1722 = 21×31×71×411

Prime Factorization of 1724


2 1724
2 862
431 431
1

Prime factors of 1724 are 2,431. Prime factorization of 1724 in exponential form is:

1724 = 22×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 1722 and 1724.

LCM(1722,1724) = 22×31×71×411×4311
LCM(1722,1724) = 1484364

Factors of 1722

List of positive integer factors of 1722 that divides 1722 without a remainder.

1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722

Factors of 1724

List of positive integer factors of 1724 that divides 1724 without a remainder.

1, 2, 4, 431, 862, 1724

Least Common Multiple of 1722 and 1724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1722 and 1724, than apply into the LCM equation.

GCF(1722,1724) = 2
LCM(1722,1724) = ( 1722 × 1724) / 2
LCM(1722,1724) = 2968728 / 2
LCM(1722,1724) = 1484364

Properties of LCM 1722 and 1724

(i) The LCM of 1724 and 1722 is associative

LCM of 1722 and 1724 = LCM of 1724 and 1722

Related Least Common Multiples of 1722

Related Least Common Multiples of 1724

Frequently Asked Questions on LCM of 1722 and 1724

1. What is the LCM of 1722 and 1724?

Answer: LCM of 1722 and 1724 is 1484364.

2. What are the Factors of 1722?

Answer: Factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722. There are 16 integers that are factors of 1722. The greatest factor of 1722 is 1722.

3. What are the Factors of 1724?

Answer: Factors of 1724 are 1, 2, 4, 431, 862, 1724. There are 6 integers that are factors of 1724. The greatest factor of 1724 is 1724.

4. How to Find the LCM of 1722 and 1724?

Answer:

Least Common Multiple of 1722 and 1724 = 1484364

Step 1: Find the prime factorization of 1722

1722 = 2 x 3 x 7 x 41

Step 2: Find the prime factorization of 1724

1724 = 2 x 2 x 431

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

LCM = 1484364 = 2 x 2 x 3 x 7 x 41 x 431

Step 4: Therefore, the least common multiple of 1722 and 1724 is 1484364.