Least Common Multiple of 1715 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 1715 and 1722 the smallest integer that is 421890 that is divisible by both numbers.

Least Common Multiple (LCM) of 1715 and 1722 is 421890.

LCM(1715,1722) = 421890

LCM of 1715 and 1722

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

LCM of:
and

Least Common Multiple of 1715 and 1722

LCM of 1715 and 1722 is 421890

Least common multiple can be found by multiplying the highest exponent prime factors of 1715 and 1722. First we will calculate the prime factors of 1715 and 1722.

Prime Factorization of 1715


5 1715
7 343
7 49
7 7
1

Prime factors of 1715 are 5,7. Prime factorization of 1715 in exponential form is:

1715 = 51×73

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 1715 and 1722.

LCM(1715,1722) = 21×31×51×73×411
LCM(1715,1722) = 421890

Factors of 1715

List of positive integer factors of 1715 that divides 1715 without a remainder.

1, 5, 7, 35, 49, 245, 343, 1715

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 1715 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 1715 and 1722, than apply into the LCM equation.

GCF(1715,1722) = 7
LCM(1715,1722) = ( 1715 × 1722) / 7
LCM(1715,1722) = 2953230 / 7
LCM(1715,1722) = 421890

Properties of LCM 1715 and 1722

(i) The LCM of 1722 and 1715 is associative

LCM of 1715 and 1722 = LCM of 1722 and 1715

Related Least Common Multiples of 1715

Related Least Common Multiples of 1722

Frequently Asked Questions on LCM of 1715 and 1722

1. What is the LCM of 1715 and 1722?

Answer: LCM of 1715 and 1722 is 421890.

2. What are the Factors of 1715?

Answer: Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. There are 8 integers that are factors of 1715. The greatest factor of 1715 is 1715.

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 1715 and 1722?

Answer:

Least Common Multiple of 1715 and 1722 = 421890

Step 1: Find the prime factorization of 1715

1715 = 5 x 7 x 7 x 7

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 = 421890 = 2 x 3 x 5 x 7 x 7 x 7 x 41

Step 4: Therefore, the least common multiple of 1715 and 1722 is 421890.