Least Common Multiple of 1722 and 1726

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 1726 the smallest integer that is 1486086 that is divisible by both numbers.

Least Common Multiple (LCM) of 1722 and 1726 is 1486086.

LCM(1722,1726) = 1486086

LCM of 1722 and 1726

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

LCM of:
and

Least Common Multiple of 1722 and 1726

LCM of 1722 and 1726 is 1486086

Least common multiple can be found by multiplying the highest exponent prime factors of 1722 and 1726. First we will calculate the prime factors of 1722 and 1726.

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 1726


2 1726
863 863
1

Prime factors of 1726 are 2,863. Prime factorization of 1726 in exponential form is:

1726 = 21×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 1722 and 1726.

LCM(1722,1726) = 21×31×71×411×8631
LCM(1722,1726) = 1486086

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 1726

List of positive integer factors of 1726 that divides 1726 without a remainder.

1, 2, 863, 1726

Least Common Multiple of 1722 and 1726 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 1726, than apply into the LCM equation.

GCF(1722,1726) = 2
LCM(1722,1726) = ( 1722 × 1726) / 2
LCM(1722,1726) = 2972172 / 2
LCM(1722,1726) = 1486086

Properties of LCM 1722 and 1726

(i) The LCM of 1726 and 1722 is associative

LCM of 1722 and 1726 = LCM of 1726 and 1722

Related Least Common Multiples of 1722

Related Least Common Multiples of 1726

Frequently Asked Questions on LCM of 1722 and 1726

1. What is the LCM of 1722 and 1726?

Answer: LCM of 1722 and 1726 is 1486086.

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 1726?

Answer: Factors of 1726 are 1, 2, 863, 1726. There are 4 integers that are factors of 1726. The greatest factor of 1726 is 1726.

4. How to Find the LCM of 1722 and 1726?

Answer:

Least Common Multiple of 1722 and 1726 = 1486086

Step 1: Find the prime factorization of 1722

1722 = 2 x 3 x 7 x 41

Step 2: Find the prime factorization of 1726

1726 = 2 x 863

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

LCM = 1486086 = 2 x 3 x 7 x 41 x 863

Step 4: Therefore, the least common multiple of 1722 and 1726 is 1486086.