Least Common Multiple of 745 and 747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 745 and 747 the smallest integer that is 556515 that is divisible by both numbers.

Least Common Multiple (LCM) of 745 and 747 is 556515.

LCM(745,747) = 556515

LCM of 745 and 747

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

LCM of:
and

Least Common Multiple of 745 and 747

LCM of 745 and 747 is 556515

Least common multiple can be found by multiplying the highest exponent prime factors of 745 and 747. First we will calculate the prime factors of 745 and 747.

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

Prime Factorization of 747


3 747
3 249
83 83
1

Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:

747 = 32×831

Now multiplying the highest exponent prime factors to calculate the LCM of 745 and 747.

LCM(745,747) = 32×51×831×1491
LCM(745,747) = 556515

Factors of 745

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

1, 5, 149, 745

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Least Common Multiple of 745 and 747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 745 and 747, than apply into the LCM equation.

GCF(745,747) = 1
LCM(745,747) = ( 745 × 747) / 1
LCM(745,747) = 556515 / 1
LCM(745,747) = 556515

Properties of LCM 745 and 747

(i) The LCM of 747 and 745 is associative

LCM of 745 and 747 = LCM of 747 and 745

Related Least Common Multiples of 745

Related Least Common Multiples of 747

Frequently Asked Questions on LCM of 745 and 747

1. What is the LCM of 745 and 747?

Answer: LCM of 745 and 747 is 556515.

2. 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.

3. What are the Factors of 747?

Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.

4. How to Find the LCM of 745 and 747?

Answer:

Least Common Multiple of 745 and 747 = 556515

Step 1: Find the prime factorization of 745

745 = 5 x 149

Step 2: Find the prime factorization of 747

747 = 3 x 3 x 83

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

LCM = 556515 = 3 x 3 x 5 x 83 x 149

Step 4: Therefore, the least common multiple of 745 and 747 is 556515.