Least Common Multiple of 767 and 770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 767 and 770 the smallest integer that is 590590 that is divisible by both numbers.

Least Common Multiple (LCM) of 767 and 770 is 590590.

LCM(767,770) = 590590

LCM of 767 and 770

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

LCM of:
and

Least Common Multiple of 767 and 770

LCM of 767 and 770 is 590590

Least common multiple can be found by multiplying the highest exponent prime factors of 767 and 770. First we will calculate the prime factors of 767 and 770.

Prime Factorization of 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

Prime Factorization of 770


2 770
5 385
7 77
11 11
1

Prime factors of 770 are 2, 5, 7,11. Prime factorization of 770 in exponential form is:

770 = 21×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 767 and 770.

LCM(767,770) = 21×51×71×111×131×591
LCM(767,770) = 590590

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Least Common Multiple of 767 and 770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 767 and 770, than apply into the LCM equation.

GCF(767,770) = 1
LCM(767,770) = ( 767 × 770) / 1
LCM(767,770) = 590590 / 1
LCM(767,770) = 590590

Properties of LCM 767 and 770

(i) The LCM of 770 and 767 is associative

LCM of 767 and 770 = LCM of 770 and 767

Related Least Common Multiples of 767

Related Least Common Multiples of 770

Frequently Asked Questions on LCM of 767 and 770

1. What is the LCM of 767 and 770?

Answer: LCM of 767 and 770 is 590590.

2. What are the Factors of 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

3. What are the Factors of 770?

Answer: Factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. There are 16 integers that are factors of 770. The greatest factor of 770 is 770.

4. How to Find the LCM of 767 and 770?

Answer:

Least Common Multiple of 767 and 770 = 590590

Step 1: Find the prime factorization of 767

767 = 13 x 59

Step 2: Find the prime factorization of 770

770 = 2 x 5 x 7 x 11

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

LCM = 590590 = 2 x 5 x 7 x 11 x 13 x 59

Step 4: Therefore, the least common multiple of 767 and 770 is 590590.