Least Common Multiple of 763 and 769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 763 and 769 the smallest integer that is 586747 that is divisible by both numbers.

Least Common Multiple (LCM) of 763 and 769 is 586747.

LCM(763,769) = 586747

LCM of 763 and 769

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

LCM of:
and

Least Common Multiple of 763 and 769

LCM of 763 and 769 is 586747

Least common multiple can be found by multiplying the highest exponent prime factors of 763 and 769. First we will calculate the prime factors of 763 and 769.

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

Prime Factorization of 769


769 769
1

Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:

769 = 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 763 and 769.

LCM(763,769) = 71×1091×7691
LCM(763,769) = 586747

Factors of 763

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

1, 7, 109, 763

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1, 769

Least Common Multiple of 763 and 769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 763 and 769, than apply into the LCM equation.

GCF(763,769) = 1
LCM(763,769) = ( 763 × 769) / 1
LCM(763,769) = 586747 / 1
LCM(763,769) = 586747

Properties of LCM 763 and 769

(i) The LCM of 769 and 763 is associative

LCM of 763 and 769 = LCM of 769 and 763

Related Least Common Multiples of 763

Related Least Common Multiples of 769

Frequently Asked Questions on LCM of 763 and 769

1. What is the LCM of 763 and 769?

Answer: LCM of 763 and 769 is 586747.

2. 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.

3. What are the Factors of 769?

Answer: Factors of 769 are 1, 769. There are 2 integers that are factors of 769. The greatest factor of 769 is 769.

4. How to Find the LCM of 763 and 769?

Answer:

Least Common Multiple of 763 and 769 = 586747

Step 1: Find the prime factorization of 763

763 = 7 x 109

Step 2: Find the prime factorization of 769

769 = 769

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

LCM = 586747 = 7 x 109 x 769

Step 4: Therefore, the least common multiple of 763 and 769 is 586747.