Least Common Multiple of 1748 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 1748 and 1754 the smallest integer that is 1532996 that is divisible by both numbers.

Least Common Multiple (LCM) of 1748 and 1754 is 1532996.

LCM(1748,1754) = 1532996

LCM of 1748 and 1754

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

LCM of:
and

Least Common Multiple of 1748 and 1754

LCM of 1748 and 1754 is 1532996

Least common multiple can be found by multiplying the highest exponent prime factors of 1748 and 1754. First we will calculate the prime factors of 1748 and 1754.

Prime Factorization of 1748


2 1748
2 874
19 437
23 23
1

Prime factors of 1748 are 2, 19,23. Prime factorization of 1748 in exponential form is:

1748 = 22×191×231

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 1748 and 1754.

LCM(1748,1754) = 22×191×231×8771
LCM(1748,1754) = 1532996

Factors of 1748

List of positive integer factors of 1748 that divides 1748 without a remainder.

1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748

Factors of 1754

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

1, 2, 877, 1754

Least Common Multiple of 1748 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 1748 and 1754, than apply into the LCM equation.

GCF(1748,1754) = 2
LCM(1748,1754) = ( 1748 × 1754) / 2
LCM(1748,1754) = 3065992 / 2
LCM(1748,1754) = 1532996

Properties of LCM 1748 and 1754

(i) The LCM of 1754 and 1748 is associative

LCM of 1748 and 1754 = LCM of 1754 and 1748

Related Least Common Multiples of 1748

Related Least Common Multiples of 1754

Frequently Asked Questions on LCM of 1748 and 1754

1. What is the LCM of 1748 and 1754?

Answer: LCM of 1748 and 1754 is 1532996.

2. What are the Factors of 1748?

Answer: Factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748. There are 12 integers that are factors of 1748. The greatest factor of 1748 is 1748.

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 1748 and 1754?

Answer:

Least Common Multiple of 1748 and 1754 = 1532996

Step 1: Find the prime factorization of 1748

1748 = 2 x 2 x 19 x 23

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 = 1532996 = 2 x 2 x 19 x 23 x 877

Step 4: Therefore, the least common multiple of 1748 and 1754 is 1532996.