Least Common Multiple of 762 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 762 and 769 the smallest integer that is 585978 that is divisible by both numbers.

Least Common Multiple (LCM) of 762 and 769 is 585978.

LCM(762,769) = 585978

LCM of 762 and 769

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

LCM of:
and

Least Common Multiple of 762 and 769

LCM of 762 and 769 is 585978

Least common multiple can be found by multiplying the highest exponent prime factors of 762 and 769. First we will calculate the prime factors of 762 and 769.

Prime Factorization of 762


2 762
3 381
127 127
1

Prime factors of 762 are 2, 3,127. Prime factorization of 762 in exponential form is:

762 = 21×31×1271

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 762 and 769.

LCM(762,769) = 21×31×1271×7691
LCM(762,769) = 585978

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Factors of 769

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

1, 769

Least Common Multiple of 762 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 762 and 769, than apply into the LCM equation.

GCF(762,769) = 1
LCM(762,769) = ( 762 × 769) / 1
LCM(762,769) = 585978 / 1
LCM(762,769) = 585978

Properties of LCM 762 and 769

(i) The LCM of 769 and 762 is associative

LCM of 762 and 769 = LCM of 769 and 762

Related Least Common Multiples of 762

Related Least Common Multiples of 769

Frequently Asked Questions on LCM of 762 and 769

1. What is the LCM of 762 and 769?

Answer: LCM of 762 and 769 is 585978.

2. What are the Factors of 762?

Answer: Factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762. There are 8 integers that are factors of 762. The greatest factor of 762 is 762.

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 762 and 769?

Answer:

Least Common Multiple of 762 and 769 = 585978

Step 1: Find the prime factorization of 762

762 = 2 x 3 x 127

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 = 585978 = 2 x 3 x 127 x 769

Step 4: Therefore, the least common multiple of 762 and 769 is 585978.