Least Common Multiple of 1719 and 1727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1719 and 1727 the smallest integer that is 2968713 that is divisible by both numbers.

Least Common Multiple (LCM) of 1719 and 1727 is 2968713.

LCM(1719,1727) = 2968713

LCM of 1719 and 1727

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

LCM of:
and

Least Common Multiple of 1719 and 1727

LCM of 1719 and 1727 is 2968713

Least common multiple can be found by multiplying the highest exponent prime factors of 1719 and 1727. First we will calculate the prime factors of 1719 and 1727.

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

Prime Factorization of 1727


11 1727
157 157
1

Prime factors of 1727 are 11,157. Prime factorization of 1727 in exponential form is:

1727 = 111×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1719 and 1727.

LCM(1719,1727) = 32×111×1571×1911
LCM(1719,1727) = 2968713

Factors of 1719

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

1, 3, 9, 191, 573, 1719

Factors of 1727

List of positive integer factors of 1727 that divides 1727 without a remainder.

1, 11, 157, 1727

Least Common Multiple of 1719 and 1727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1719 and 1727, than apply into the LCM equation.

GCF(1719,1727) = 1
LCM(1719,1727) = ( 1719 × 1727) / 1
LCM(1719,1727) = 2968713 / 1
LCM(1719,1727) = 2968713

Properties of LCM 1719 and 1727

(i) The LCM of 1727 and 1719 is associative

LCM of 1719 and 1727 = LCM of 1727 and 1719

Related Least Common Multiples of 1719

Related Least Common Multiples of 1727

Frequently Asked Questions on LCM of 1719 and 1727

1. What is the LCM of 1719 and 1727?

Answer: LCM of 1719 and 1727 is 2968713.

2. 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.

3. What are the Factors of 1727?

Answer: Factors of 1727 are 1, 11, 157, 1727. There are 4 integers that are factors of 1727. The greatest factor of 1727 is 1727.

4. How to Find the LCM of 1719 and 1727?

Answer:

Least Common Multiple of 1719 and 1727 = 2968713

Step 1: Find the prime factorization of 1719

1719 = 3 x 3 x 191

Step 2: Find the prime factorization of 1727

1727 = 11 x 157

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

LCM = 2968713 = 3 x 3 x 11 x 157 x 191

Step 4: Therefore, the least common multiple of 1719 and 1727 is 2968713.