Least Common Multiple of 761 and 767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 761 and 767 the smallest integer that is 583687 that is divisible by both numbers.

Least Common Multiple (LCM) of 761 and 767 is 583687.

LCM(761,767) = 583687

LCM of 761 and 767

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

LCM of:
and

Least Common Multiple of 761 and 767

LCM of 761 and 767 is 583687

Least common multiple can be found by multiplying the highest exponent prime factors of 761 and 767. First we will calculate the prime factors of 761 and 767.

Prime Factorization of 761


761 761
1

Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:

761 = 7611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 761 and 767.

LCM(761,767) = 131×591×7611
LCM(761,767) = 583687

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1, 761

Factors of 767

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

1, 13, 59, 767

Least Common Multiple of 761 and 767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 761 and 767, than apply into the LCM equation.

GCF(761,767) = 1
LCM(761,767) = ( 761 × 767) / 1
LCM(761,767) = 583687 / 1
LCM(761,767) = 583687

Properties of LCM 761 and 767

(i) The LCM of 767 and 761 is associative

LCM of 761 and 767 = LCM of 767 and 761

Frequently Asked Questions on LCM of 761 and 767

1. What is the LCM of 761 and 767?

Answer: LCM of 761 and 767 is 583687.

2. What are the Factors of 761?

Answer: Factors of 761 are 1, 761. There are 2 integers that are factors of 761. The greatest factor of 761 is 761.

3. 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.

4. How to Find the LCM of 761 and 767?

Answer:

Least Common Multiple of 761 and 767 = 583687

Step 1: Find the prime factorization of 761

761 = 761

Step 2: Find the prime factorization of 767

767 = 13 x 59

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

LCM = 583687 = 13 x 59 x 761

Step 4: Therefore, the least common multiple of 761 and 767 is 583687.