Least Common Multiple of 757 and 763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 757 and 763 the smallest integer that is 577591 that is divisible by both numbers.

Least Common Multiple (LCM) of 757 and 763 is 577591.

LCM(757,763) = 577591

LCM of 757 and 763

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

LCM of:
and

Least Common Multiple of 757 and 763

LCM of 757 and 763 is 577591

Least common multiple can be found by multiplying the highest exponent prime factors of 757 and 763. First we will calculate the prime factors of 757 and 763.

Prime Factorization of 757


757 757
1

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

757 = 7571

Prime Factorization of 763


7 763
109 109
1

Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:

763 = 71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 757 and 763.

LCM(757,763) = 71×1091×7571
LCM(757,763) = 577591

Factors of 757

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

1, 757

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Least Common Multiple of 757 and 763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 757 and 763, than apply into the LCM equation.

GCF(757,763) = 1
LCM(757,763) = ( 757 × 763) / 1
LCM(757,763) = 577591 / 1
LCM(757,763) = 577591

Properties of LCM 757 and 763

(i) The LCM of 763 and 757 is associative

LCM of 757 and 763 = LCM of 763 and 757

Related Least Common Multiples of 757

Related Least Common Multiples of 763

Frequently Asked Questions on LCM of 757 and 763

1. What is the LCM of 757 and 763?

Answer: LCM of 757 and 763 is 577591.

2. 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.

3. What are the Factors of 763?

Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.

4. How to Find the LCM of 757 and 763?

Answer:

Least Common Multiple of 757 and 763 = 577591

Step 1: Find the prime factorization of 757

757 = 757

Step 2: Find the prime factorization of 763

763 = 7 x 109

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

LCM = 577591 = 7 x 109 x 757

Step 4: Therefore, the least common multiple of 757 and 763 is 577591.