Least Common Multiple of 749 and 751

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 751 the smallest integer that is 562499 that is divisible by both numbers.

Least Common Multiple (LCM) of 749 and 751 is 562499.

LCM(749,751) = 562499

LCM of 749 and 751

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

LCM of:
and

Least Common Multiple of 749 and 751

LCM of 749 and 751 is 562499

Least common multiple can be found by multiplying the highest exponent prime factors of 749 and 751. First we will calculate the prime factors of 749 and 751.

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 751


751 751
1

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 749 and 751.

LCM(749,751) = 71×1071×7511
LCM(749,751) = 562499

Factors of 749

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

1, 7, 107, 749

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1, 751

Least Common Multiple of 749 and 751 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 751, than apply into the LCM equation.

GCF(749,751) = 1
LCM(749,751) = ( 749 × 751) / 1
LCM(749,751) = 562499 / 1
LCM(749,751) = 562499

Properties of LCM 749 and 751

(i) The LCM of 751 and 749 is associative

LCM of 749 and 751 = LCM of 751 and 749

Related Least Common Multiples of 749

Related Least Common Multiples of 751

Frequently Asked Questions on LCM of 749 and 751

1. What is the LCM of 749 and 751?

Answer: LCM of 749 and 751 is 562499.

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 751?

Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.

4. How to Find the LCM of 749 and 751?

Answer:

Least Common Multiple of 749 and 751 = 562499

Step 1: Find the prime factorization of 749

749 = 7 x 107

Step 2: Find the prime factorization of 751

751 = 751

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

LCM = 562499 = 7 x 107 x 751

Step 4: Therefore, the least common multiple of 749 and 751 is 562499.