Least Common Multiple of 747 and 755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 747 and 755 the smallest integer that is 563985 that is divisible by both numbers.

Least Common Multiple (LCM) of 747 and 755 is 563985.

LCM(747,755) = 563985

LCM of 747 and 755

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

LCM of:
and

Least Common Multiple of 747 and 755

LCM of 747 and 755 is 563985

Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 755. First we will calculate the prime factors of 747 and 755.

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

Prime Factorization of 755


5 755
151 151
1

Prime factors of 755 are 5,151. Prime factorization of 755 in exponential form is:

755 = 51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 747 and 755.

LCM(747,755) = 32×51×831×1511
LCM(747,755) = 563985

Factors of 747

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

1, 3, 9, 83, 249, 747

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Least Common Multiple of 747 and 755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 747 and 755, than apply into the LCM equation.

GCF(747,755) = 1
LCM(747,755) = ( 747 × 755) / 1
LCM(747,755) = 563985 / 1
LCM(747,755) = 563985

Properties of LCM 747 and 755

(i) The LCM of 755 and 747 is associative

LCM of 747 and 755 = LCM of 755 and 747

Related Least Common Multiples of 747

Related Least Common Multiples of 755

Frequently Asked Questions on LCM of 747 and 755

1. What is the LCM of 747 and 755?

Answer: LCM of 747 and 755 is 563985.

2. 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.

3. What are the Factors of 755?

Answer: Factors of 755 are 1, 5, 151, 755. There are 4 integers that are factors of 755. The greatest factor of 755 is 755.

4. How to Find the LCM of 747 and 755?

Answer:

Least Common Multiple of 747 and 755 = 563985

Step 1: Find the prime factorization of 747

747 = 3 x 3 x 83

Step 2: Find the prime factorization of 755

755 = 5 x 151

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

LCM = 563985 = 3 x 3 x 5 x 83 x 151

Step 4: Therefore, the least common multiple of 747 and 755 is 563985.