Least Common Multiple of 1727 and 1733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1727 and 1733 the smallest integer that is 2992891 that is divisible by both numbers.

Least Common Multiple (LCM) of 1727 and 1733 is 2992891.

LCM(1727,1733) = 2992891

LCM of 1727 and 1733

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

LCM of:
and

Least Common Multiple of 1727 and 1733

LCM of 1727 and 1733 is 2992891

Least common multiple can be found by multiplying the highest exponent prime factors of 1727 and 1733. First we will calculate the prime factors of 1727 and 1733.

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

Prime Factorization of 1733


1733 1733
1

Prime factors of 1733 are 1733. Prime factorization of 1733 in exponential form is:

1733 = 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 1727 and 1733.

LCM(1727,1733) = 111×1571×17331
LCM(1727,1733) = 2992891

Factors of 1727

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

1, 11, 157, 1727

Factors of 1733

List of positive integer factors of 1733 that divides 1733 without a remainder.

1, 1733

Least Common Multiple of 1727 and 1733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1727 and 1733, than apply into the LCM equation.

GCF(1727,1733) = 1
LCM(1727,1733) = ( 1727 × 1733) / 1
LCM(1727,1733) = 2992891 / 1
LCM(1727,1733) = 2992891

Properties of LCM 1727 and 1733

(i) The LCM of 1733 and 1727 is associative

LCM of 1727 and 1733 = LCM of 1733 and 1727

Related Least Common Multiples of 1727

Related Least Common Multiples of 1733

Frequently Asked Questions on LCM of 1727 and 1733

1. What is the LCM of 1727 and 1733?

Answer: LCM of 1727 and 1733 is 2992891.

2. 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.

3. What are the Factors of 1733?

Answer: Factors of 1733 are 1, 1733. There are 2 integers that are factors of 1733. The greatest factor of 1733 is 1733.

4. How to Find the LCM of 1727 and 1733?

Answer:

Least Common Multiple of 1727 and 1733 = 2992891

Step 1: Find the prime factorization of 1727

1727 = 11 x 157

Step 2: Find the prime factorization of 1733

1733 = 1733

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

LCM = 2992891 = 11 x 157 x 1733

Step 4: Therefore, the least common multiple of 1727 and 1733 is 2992891.