Least Common Multiple of 1745 and 1751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1745 and 1751 the smallest integer that is 3055495 that is divisible by both numbers.

Least Common Multiple (LCM) of 1745 and 1751 is 3055495.

LCM(1745,1751) = 3055495

LCM of 1745 and 1751

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

LCM of:
and

Least Common Multiple of 1745 and 1751

LCM of 1745 and 1751 is 3055495

Least common multiple can be found by multiplying the highest exponent prime factors of 1745 and 1751. First we will calculate the prime factors of 1745 and 1751.

Prime Factorization of 1745


5 1745
349 349
1

Prime factors of 1745 are 5,349. Prime factorization of 1745 in exponential form is:

1745 = 51×3491

Prime Factorization of 1751


17 1751
103 103
1

Prime factors of 1751 are 17,103. Prime factorization of 1751 in exponential form is:

1751 = 171×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1745 and 1751.

LCM(1745,1751) = 51×171×1031×3491
LCM(1745,1751) = 3055495

Factors of 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1, 5, 349, 1745

Factors of 1751

List of positive integer factors of 1751 that divides 1751 without a remainder.

1, 17, 103, 1751

Least Common Multiple of 1745 and 1751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1745 and 1751, than apply into the LCM equation.

GCF(1745,1751) = 1
LCM(1745,1751) = ( 1745 × 1751) / 1
LCM(1745,1751) = 3055495 / 1
LCM(1745,1751) = 3055495

Properties of LCM 1745 and 1751

(i) The LCM of 1751 and 1745 is associative

LCM of 1745 and 1751 = LCM of 1751 and 1745

Related Least Common Multiples of 1745

Related Least Common Multiples of 1751

Frequently Asked Questions on LCM of 1745 and 1751

1. What is the LCM of 1745 and 1751?

Answer: LCM of 1745 and 1751 is 3055495.

2. What are the Factors of 1745?

Answer: Factors of 1745 are 1, 5, 349, 1745. There are 4 integers that are factors of 1745. The greatest factor of 1745 is 1745.

3. What are the Factors of 1751?

Answer: Factors of 1751 are 1, 17, 103, 1751. There are 4 integers that are factors of 1751. The greatest factor of 1751 is 1751.

4. How to Find the LCM of 1745 and 1751?

Answer:

Least Common Multiple of 1745 and 1751 = 3055495

Step 1: Find the prime factorization of 1745

1745 = 5 x 349

Step 2: Find the prime factorization of 1751

1751 = 17 x 103

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

LCM = 3055495 = 5 x 17 x 103 x 349

Step 4: Therefore, the least common multiple of 1745 and 1751 is 3055495.