Least Common Multiple of 1749 and 1754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1749 and 1754 the smallest integer that is 3067746 that is divisible by both numbers.

Least Common Multiple (LCM) of 1749 and 1754 is 3067746.

LCM(1749,1754) = 3067746

LCM of 1749 and 1754

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

LCM of:
and

Least Common Multiple of 1749 and 1754

LCM of 1749 and 1754 is 3067746

Least common multiple can be found by multiplying the highest exponent prime factors of 1749 and 1754. First we will calculate the prime factors of 1749 and 1754.

Prime Factorization of 1749


3 1749
11 583
53 53
1

Prime factors of 1749 are 3, 11,53. Prime factorization of 1749 in exponential form is:

1749 = 31×111×531

Prime Factorization of 1754


2 1754
877 877
1

Prime factors of 1754 are 2,877. Prime factorization of 1754 in exponential form is:

1754 = 21×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 1749 and 1754.

LCM(1749,1754) = 21×31×111×531×8771
LCM(1749,1754) = 3067746

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1, 3, 11, 33, 53, 159, 583, 1749

Factors of 1754

List of positive integer factors of 1754 that divides 1754 without a remainder.

1, 2, 877, 1754

Least Common Multiple of 1749 and 1754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1749 and 1754, than apply into the LCM equation.

GCF(1749,1754) = 1
LCM(1749,1754) = ( 1749 × 1754) / 1
LCM(1749,1754) = 3067746 / 1
LCM(1749,1754) = 3067746

Properties of LCM 1749 and 1754

(i) The LCM of 1754 and 1749 is associative

LCM of 1749 and 1754 = LCM of 1754 and 1749

Related Least Common Multiples of 1749

Related Least Common Multiples of 1754

Frequently Asked Questions on LCM of 1749 and 1754

1. What is the LCM of 1749 and 1754?

Answer: LCM of 1749 and 1754 is 3067746.

2. What are the Factors of 1749?

Answer: Factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749. There are 8 integers that are factors of 1749. The greatest factor of 1749 is 1749.

3. What are the Factors of 1754?

Answer: Factors of 1754 are 1, 2, 877, 1754. There are 4 integers that are factors of 1754. The greatest factor of 1754 is 1754.

4. How to Find the LCM of 1749 and 1754?

Answer:

Least Common Multiple of 1749 and 1754 = 3067746

Step 1: Find the prime factorization of 1749

1749 = 3 x 11 x 53

Step 2: Find the prime factorization of 1754

1754 = 2 x 877

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

LCM = 3067746 = 2 x 3 x 11 x 53 x 877

Step 4: Therefore, the least common multiple of 1749 and 1754 is 3067746.