Least Common Multiple of 749 and 757

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 757 the smallest integer that is 566993 that is divisible by both numbers.

Least Common Multiple (LCM) of 749 and 757 is 566993.

LCM(749,757) = 566993

LCM of 749 and 757

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

LCM of:
and

Least Common Multiple of 749 and 757

LCM of 749 and 757 is 566993

Least common multiple can be found by multiplying the highest exponent prime factors of 749 and 757. First we will calculate the prime factors of 749 and 757.

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 757


757 757
1

Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:

757 = 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 749 and 757.

LCM(749,757) = 71×1071×7571
LCM(749,757) = 566993

Factors of 749

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

1, 7, 107, 749

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1, 757

Least Common Multiple of 749 and 757 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 757, than apply into the LCM equation.

GCF(749,757) = 1
LCM(749,757) = ( 749 × 757) / 1
LCM(749,757) = 566993 / 1
LCM(749,757) = 566993

Properties of LCM 749 and 757

(i) The LCM of 757 and 749 is associative

LCM of 749 and 757 = LCM of 757 and 749

Related Least Common Multiples of 749

Related Least Common Multiples of 757

Frequently Asked Questions on LCM of 749 and 757

1. What is the LCM of 749 and 757?

Answer: LCM of 749 and 757 is 566993.

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 757?

Answer: Factors of 757 are 1, 757. There are 2 integers that are factors of 757. The greatest factor of 757 is 757.

4. How to Find the LCM of 749 and 757?

Answer:

Least Common Multiple of 749 and 757 = 566993

Step 1: Find the prime factorization of 749

749 = 7 x 107

Step 2: Find the prime factorization of 757

757 = 757

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

LCM = 566993 = 7 x 107 x 757

Step 4: Therefore, the least common multiple of 749 and 757 is 566993.