Least Common Multiple of 741 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 741 and 745 the smallest integer that is 552045 that is divisible by both numbers.

Least Common Multiple (LCM) of 741 and 745 is 552045.

LCM(741,745) = 552045

LCM of 741 and 745

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

LCM of:
and

Least Common Multiple of 741 and 745

LCM of 741 and 745 is 552045

Least common multiple can be found by multiplying the highest exponent prime factors of 741 and 745. First we will calculate the prime factors of 741 and 745.

Prime Factorization of 741


3 741
13 247
19 19
1

Prime factors of 741 are 3, 13,19. Prime factorization of 741 in exponential form is:

741 = 31×131×191

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 741 and 745.

LCM(741,745) = 31×51×131×191×1491
LCM(741,745) = 552045

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Factors of 745

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

1, 5, 149, 745

Least Common Multiple of 741 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 741 and 745, than apply into the LCM equation.

GCF(741,745) = 1
LCM(741,745) = ( 741 × 745) / 1
LCM(741,745) = 552045 / 1
LCM(741,745) = 552045

Properties of LCM 741 and 745

(i) The LCM of 745 and 741 is associative

LCM of 741 and 745 = LCM of 745 and 741

Frequently Asked Questions on LCM of 741 and 745

1. What is the LCM of 741 and 745?

Answer: LCM of 741 and 745 is 552045.

2. What are the Factors of 741?

Answer: Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741. There are 8 integers that are factors of 741. The greatest factor of 741 is 741.

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 741 and 745?

Answer:

Least Common Multiple of 741 and 745 = 552045

Step 1: Find the prime factorization of 741

741 = 3 x 13 x 19

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 = 552045 = 3 x 5 x 13 x 19 x 149

Step 4: Therefore, the least common multiple of 741 and 745 is 552045.