Least Common Multiple of 1712 and 1719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1712 and 1719 the smallest integer that is 2942928 that is divisible by both numbers.

Least Common Multiple (LCM) of 1712 and 1719 is 2942928.

LCM(1712,1719) = 2942928

LCM of 1712 and 1719

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

LCM of:
and

Least Common Multiple of 1712 and 1719

LCM of 1712 and 1719 is 2942928

Least common multiple can be found by multiplying the highest exponent prime factors of 1712 and 1719. First we will calculate the prime factors of 1712 and 1719.

Prime Factorization of 1712


2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 1712 are 2,107. Prime factorization of 1712 in exponential form is:

1712 = 24×1071

Prime Factorization of 1719


3 1719
3 573
191 191
1

Prime factors of 1719 are 3,191. Prime factorization of 1719 in exponential form is:

1719 = 32×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1712 and 1719.

LCM(1712,1719) = 24×32×1071×1911
LCM(1712,1719) = 2942928

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1, 2, 4, 8, 16, 107, 214, 428, 856, 1712

Factors of 1719

List of positive integer factors of 1719 that divides 1719 without a remainder.

1, 3, 9, 191, 573, 1719

Least Common Multiple of 1712 and 1719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1712 and 1719, than apply into the LCM equation.

GCF(1712,1719) = 1
LCM(1712,1719) = ( 1712 × 1719) / 1
LCM(1712,1719) = 2942928 / 1
LCM(1712,1719) = 2942928

Properties of LCM 1712 and 1719

(i) The LCM of 1719 and 1712 is associative

LCM of 1712 and 1719 = LCM of 1719 and 1712

Related Least Common Multiples of 1712

Related Least Common Multiples of 1719

Frequently Asked Questions on LCM of 1712 and 1719

1. What is the LCM of 1712 and 1719?

Answer: LCM of 1712 and 1719 is 2942928.

2. What are the Factors of 1712?

Answer: Factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712. There are 10 integers that are factors of 1712. The greatest factor of 1712 is 1712.

3. What are the Factors of 1719?

Answer: Factors of 1719 are 1, 3, 9, 191, 573, 1719. There are 6 integers that are factors of 1719. The greatest factor of 1719 is 1719.

4. How to Find the LCM of 1712 and 1719?

Answer:

Least Common Multiple of 1712 and 1719 = 2942928

Step 1: Find the prime factorization of 1712

1712 = 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 1719

1719 = 3 x 3 x 191

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

LCM = 2942928 = 2 x 2 x 2 x 2 x 3 x 3 x 107 x 191

Step 4: Therefore, the least common multiple of 1712 and 1719 is 2942928.