Least Common Multiple of 1739 and 1740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1739 and 1740 the smallest integer that is 3025860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1739 and 1740 is 3025860.

LCM(1739,1740) = 3025860

LCM of 1739 and 1740

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

LCM of:
and

Least Common Multiple of 1739 and 1740

LCM of 1739 and 1740 is 3025860

Least common multiple can be found by multiplying the highest exponent prime factors of 1739 and 1740. First we will calculate the prime factors of 1739 and 1740.

Prime Factorization of 1739


37 1739
47 47
1

Prime factors of 1739 are 37,47. Prime factorization of 1739 in exponential form is:

1739 = 371×471

Prime Factorization of 1740


2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 1740 are 2, 3, 5,29. Prime factorization of 1740 in exponential form is:

1740 = 22×31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1739 and 1740.

LCM(1739,1740) = 22×31×51×291×371×471
LCM(1739,1740) = 3025860

Factors of 1739

List of positive integer factors of 1739 that divides 1739 without a remainder.

1, 37, 47, 1739

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740

Least Common Multiple of 1739 and 1740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1739 and 1740, than apply into the LCM equation.

GCF(1739,1740) = 1
LCM(1739,1740) = ( 1739 × 1740) / 1
LCM(1739,1740) = 3025860 / 1
LCM(1739,1740) = 3025860

Properties of LCM 1739 and 1740

(i) The LCM of 1740 and 1739 is associative

LCM of 1739 and 1740 = LCM of 1740 and 1739

Related Least Common Multiples of 1739

Related Least Common Multiples of 1740

Frequently Asked Questions on LCM of 1739 and 1740

1. What is the LCM of 1739 and 1740?

Answer: LCM of 1739 and 1740 is 3025860.

2. What are the Factors of 1739?

Answer: Factors of 1739 are 1, 37, 47, 1739. There are 4 integers that are factors of 1739. The greatest factor of 1739 is 1739.

3. What are the Factors of 1740?

Answer: Factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. There are 24 integers that are factors of 1740. The greatest factor of 1740 is 1740.

4. How to Find the LCM of 1739 and 1740?

Answer:

Least Common Multiple of 1739 and 1740 = 3025860

Step 1: Find the prime factorization of 1739

1739 = 37 x 47

Step 2: Find the prime factorization of 1740

1740 = 2 x 2 x 3 x 5 x 29

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

LCM = 3025860 = 2 x 2 x 3 x 5 x 29 x 37 x 47

Step 4: Therefore, the least common multiple of 1739 and 1740 is 3025860.