Least Common Multiple of 761 and 766

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 766 the smallest integer that is 582926 that is divisible by both numbers.

Least Common Multiple (LCM) of 761 and 766 is 582926.

LCM(761,766) = 582926

LCM of 761 and 766

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

LCM of:
and

Least Common Multiple of 761 and 766

LCM of 761 and 766 is 582926

Least common multiple can be found by multiplying the highest exponent prime factors of 761 and 766. First we will calculate the prime factors of 761 and 766.

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 766


2 766
383 383
1

Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:

766 = 21×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 761 and 766.

LCM(761,766) = 21×3831×7611
LCM(761,766) = 582926

Factors of 761

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

1, 761

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Least Common Multiple of 761 and 766 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 766, than apply into the LCM equation.

GCF(761,766) = 1
LCM(761,766) = ( 761 × 766) / 1
LCM(761,766) = 582926 / 1
LCM(761,766) = 582926

Properties of LCM 761 and 766

(i) The LCM of 766 and 761 is associative

LCM of 761 and 766 = LCM of 766 and 761

Related Least Common Multiples of 761

Related Least Common Multiples of 766

Frequently Asked Questions on LCM of 761 and 766

1. What is the LCM of 761 and 766?

Answer: LCM of 761 and 766 is 582926.

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 766?

Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.

4. How to Find the LCM of 761 and 766?

Answer:

Least Common Multiple of 761 and 766 = 582926

Step 1: Find the prime factorization of 761

761 = 761

Step 2: Find the prime factorization of 766

766 = 2 x 383

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

LCM = 582926 = 2 x 383 x 761

Step 4: Therefore, the least common multiple of 761 and 766 is 582926.