Least Common Multiple of 749 and 753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 749 and 753 the smallest integer that is 563997 that is divisible by both numbers.

Least Common Multiple (LCM) of 749 and 753 is 563997.

LCM(749,753) = 563997

LCM of 749 and 753

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

LCM of:
and

Least Common Multiple of 749 and 753

LCM of 749 and 753 is 563997

Least common multiple can be found by multiplying the highest exponent prime factors of 749 and 753. First we will calculate the prime factors of 749 and 753.

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

Prime Factorization of 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 749 and 753.

LCM(749,753) = 31×71×1071×2511
LCM(749,753) = 563997

Factors of 749

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

1, 7, 107, 749

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Least Common Multiple of 749 and 753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 749 and 753, than apply into the LCM equation.

GCF(749,753) = 1
LCM(749,753) = ( 749 × 753) / 1
LCM(749,753) = 563997 / 1
LCM(749,753) = 563997

Properties of LCM 749 and 753

(i) The LCM of 753 and 749 is associative

LCM of 749 and 753 = LCM of 753 and 749

Related Least Common Multiples of 749

Related Least Common Multiples of 753

Frequently Asked Questions on LCM of 749 and 753

1. What is the LCM of 749 and 753?

Answer: LCM of 749 and 753 is 563997.

2. 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.

3. What are the Factors of 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

4. How to Find the LCM of 749 and 753?

Answer:

Least Common Multiple of 749 and 753 = 563997

Step 1: Find the prime factorization of 749

749 = 7 x 107

Step 2: Find the prime factorization of 753

753 = 3 x 251

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

LCM = 563997 = 3 x 7 x 107 x 251

Step 4: Therefore, the least common multiple of 749 and 753 is 563997.