Least Common Multiple of 767 and 772

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 772 the smallest integer that is 592124 that is divisible by both numbers.

Least Common Multiple (LCM) of 767 and 772 is 592124.

LCM(767,772) = 592124

LCM of 767 and 772

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

LCM of:
and

Least Common Multiple of 767 and 772

LCM of 767 and 772 is 592124

Least common multiple can be found by multiplying the highest exponent prime factors of 767 and 772. First we will calculate the prime factors of 767 and 772.

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 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 767 and 772.

LCM(767,772) = 22×131×591×1931
LCM(767,772) = 592124

Factors of 767

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

1, 13, 59, 767

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Least Common Multiple of 767 and 772 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 772, than apply into the LCM equation.

GCF(767,772) = 1
LCM(767,772) = ( 767 × 772) / 1
LCM(767,772) = 592124 / 1
LCM(767,772) = 592124

Properties of LCM 767 and 772

(i) The LCM of 772 and 767 is associative

LCM of 767 and 772 = LCM of 772 and 767

Related Least Common Multiples of 767

Related Least Common Multiples of 772

Frequently Asked Questions on LCM of 767 and 772

1. What is the LCM of 767 and 772?

Answer: LCM of 767 and 772 is 592124.

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 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the LCM of 767 and 772?

Answer:

Least Common Multiple of 767 and 772 = 592124

Step 1: Find the prime factorization of 767

767 = 13 x 59

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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

LCM = 592124 = 2 x 2 x 13 x 59 x 193

Step 4: Therefore, the least common multiple of 767 and 772 is 592124.