Least Common Multiple of 1717 and 1722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1717 and 1722 the smallest integer that is 2956674 that is divisible by both numbers.

Least Common Multiple (LCM) of 1717 and 1722 is 2956674.

LCM(1717,1722) = 2956674

LCM of 1717 and 1722

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

LCM of:
and

Least Common Multiple of 1717 and 1722

LCM of 1717 and 1722 is 2956674

Least common multiple can be found by multiplying the highest exponent prime factors of 1717 and 1722. First we will calculate the prime factors of 1717 and 1722.

Prime Factorization of 1717


17 1717
101 101
1

Prime factors of 1717 are 17,101. Prime factorization of 1717 in exponential form is:

1717 = 171×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1717 and 1722.

LCM(1717,1722) = 21×31×71×171×411×1011
LCM(1717,1722) = 2956674

Factors of 1717

List of positive integer factors of 1717 that divides 1717 without a remainder.

1, 17, 101, 1717

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

Least Common Multiple of 1717 and 1722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1717 and 1722, than apply into the LCM equation.

GCF(1717,1722) = 1
LCM(1717,1722) = ( 1717 × 1722) / 1
LCM(1717,1722) = 2956674 / 1
LCM(1717,1722) = 2956674

Properties of LCM 1717 and 1722

(i) The LCM of 1722 and 1717 is associative

LCM of 1717 and 1722 = LCM of 1722 and 1717

Related Least Common Multiples of 1717

Related Least Common Multiples of 1722

Frequently Asked Questions on LCM of 1717 and 1722

1. What is the LCM of 1717 and 1722?

Answer: LCM of 1717 and 1722 is 2956674.

2. What are the Factors of 1717?

Answer: Factors of 1717 are 1, 17, 101, 1717. There are 4 integers that are factors of 1717. The greatest factor of 1717 is 1717.

3. 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.

4. How to Find the LCM of 1717 and 1722?

Answer:

Least Common Multiple of 1717 and 1722 = 2956674

Step 1: Find the prime factorization of 1717

1717 = 17 x 101

Step 2: Find the prime factorization of 1722

1722 = 2 x 3 x 7 x 41

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

LCM = 2956674 = 2 x 3 x 7 x 17 x 41 x 101

Step 4: Therefore, the least common multiple of 1717 and 1722 is 2956674.