Least Common Multiple of 743 and 745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 743 and 745 the smallest integer that is 553535 that is divisible by both numbers.

Least Common Multiple (LCM) of 743 and 745 is 553535.

LCM(743,745) = 553535

LCM of 743 and 745

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

LCM of:
and

Least Common Multiple of 743 and 745

LCM of 743 and 745 is 553535

Least common multiple can be found by multiplying the highest exponent prime factors of 743 and 745. First we will calculate the prime factors of 743 and 745.

Prime Factorization of 743


743 743
1

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 7431

Prime Factorization of 745


5 745
149 149
1

Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:

745 = 51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 743 and 745.

LCM(743,745) = 51×1491×7431
LCM(743,745) = 553535

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1, 743

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Least Common Multiple of 743 and 745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 743 and 745, than apply into the LCM equation.

GCF(743,745) = 1
LCM(743,745) = ( 743 × 745) / 1
LCM(743,745) = 553535 / 1
LCM(743,745) = 553535

Properties of LCM 743 and 745

(i) The LCM of 745 and 743 is associative

LCM of 743 and 745 = LCM of 745 and 743

Related Least Common Multiples of 743

Related Least Common Multiples of 745

Frequently Asked Questions on LCM of 743 and 745

1. What is the LCM of 743 and 745?

Answer: LCM of 743 and 745 is 553535.

2. What are the Factors of 743?

Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.

3. What are the Factors of 745?

Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.

4. How to Find the LCM of 743 and 745?

Answer:

Least Common Multiple of 743 and 745 = 553535

Step 1: Find the prime factorization of 743

743 = 743

Step 2: Find the prime factorization of 745

745 = 5 x 149

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

LCM = 553535 = 5 x 149 x 743

Step 4: Therefore, the least common multiple of 743 and 745 is 553535.