Least Common Multiple of 1718 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 1718 and 1722 the smallest integer that is 1479198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1718 and 1722 is 1479198.

LCM(1718,1722) = 1479198

LCM of 1718 and 1722

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

LCM of:
and

Least Common Multiple of 1718 and 1722

LCM of 1718 and 1722 is 1479198

Least common multiple can be found by multiplying the highest exponent prime factors of 1718 and 1722. First we will calculate the prime factors of 1718 and 1722.

Prime Factorization of 1718


2 1718
859 859
1

Prime factors of 1718 are 2,859. Prime factorization of 1718 in exponential form is:

1718 = 21×8591

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 1718 and 1722.

LCM(1718,1722) = 21×31×71×411×8591
LCM(1718,1722) = 1479198

Factors of 1718

List of positive integer factors of 1718 that divides 1718 without a remainder.

1, 2, 859, 1718

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 1718 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 1718 and 1722, than apply into the LCM equation.

GCF(1718,1722) = 2
LCM(1718,1722) = ( 1718 × 1722) / 2
LCM(1718,1722) = 2958396 / 2
LCM(1718,1722) = 1479198

Properties of LCM 1718 and 1722

(i) The LCM of 1722 and 1718 is associative

LCM of 1718 and 1722 = LCM of 1722 and 1718

Related Least Common Multiples of 1718

Related Least Common Multiples of 1722

Frequently Asked Questions on LCM of 1718 and 1722

1. What is the LCM of 1718 and 1722?

Answer: LCM of 1718 and 1722 is 1479198.

2. What are the Factors of 1718?

Answer: Factors of 1718 are 1, 2, 859, 1718. There are 4 integers that are factors of 1718. The greatest factor of 1718 is 1718.

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 1718 and 1722?

Answer:

Least Common Multiple of 1718 and 1722 = 1479198

Step 1: Find the prime factorization of 1718

1718 = 2 x 859

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 = 1479198 = 2 x 3 x 7 x 41 x 859

Step 4: Therefore, the least common multiple of 1718 and 1722 is 1479198.