Least Common Multiple of 747 and 749

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 749 the smallest integer that is 559503 that is divisible by both numbers.

Least Common Multiple (LCM) of 747 and 749 is 559503.

LCM(747,749) = 559503

LCM of 747 and 749

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

LCM of:
and

Least Common Multiple of 747 and 749

LCM of 747 and 749 is 559503

Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 749. First we will calculate the prime factors of 747 and 749.

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 749


7 749
107 107
1

Prime factors of 749 are 7,107. Prime factorization of 749 in exponential form is:

749 = 71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 747 and 749.

LCM(747,749) = 32×71×831×1071
LCM(747,749) = 559503

Factors of 747

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

1, 3, 9, 83, 249, 747

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Least Common Multiple of 747 and 749 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 749, than apply into the LCM equation.

GCF(747,749) = 1
LCM(747,749) = ( 747 × 749) / 1
LCM(747,749) = 559503 / 1
LCM(747,749) = 559503

Properties of LCM 747 and 749

(i) The LCM of 749 and 747 is associative

LCM of 747 and 749 = LCM of 749 and 747

Related Least Common Multiples of 747

Related Least Common Multiples of 749

Frequently Asked Questions on LCM of 747 and 749

1. What is the LCM of 747 and 749?

Answer: LCM of 747 and 749 is 559503.

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 749?

Answer: Factors of 749 are 1, 7, 107, 749. There are 4 integers that are factors of 749. The greatest factor of 749 is 749.

4. How to Find the LCM of 747 and 749?

Answer:

Least Common Multiple of 747 and 749 = 559503

Step 1: Find the prime factorization of 747

747 = 3 x 3 x 83

Step 2: Find the prime factorization of 749

749 = 7 x 107

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

LCM = 559503 = 3 x 3 x 7 x 83 x 107

Step 4: Therefore, the least common multiple of 747 and 749 is 559503.