Least Common Multiple of 761 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 761 and 769 the smallest integer that is 585209 that is divisible by both numbers.

Least Common Multiple (LCM) of 761 and 769 is 585209.

LCM(761,769) = 585209

LCM of 761 and 769

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

LCM of:
and

Least Common Multiple of 761 and 769

LCM of 761 and 769 is 585209

Least common multiple can be found by multiplying the highest exponent prime factors of 761 and 769. First we will calculate the prime factors of 761 and 769.

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 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 761 and 769.

LCM(761,769) = 7611×7691
LCM(761,769) = 585209

Factors of 761

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

1, 761

Factors of 769

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

1, 769

Least Common Multiple of 761 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 761 and 769, than apply into the LCM equation.

GCF(761,769) = 1
LCM(761,769) = ( 761 × 769) / 1
LCM(761,769) = 585209 / 1
LCM(761,769) = 585209

Properties of LCM 761 and 769

(i) The LCM of 769 and 761 is associative

LCM of 761 and 769 = LCM of 769 and 761

Related Least Common Multiples of 761

Related Least Common Multiples of 769

Frequently Asked Questions on LCM of 761 and 769

1. What is the LCM of 761 and 769?

Answer: LCM of 761 and 769 is 585209.

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 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 761 and 769?

Answer:

Least Common Multiple of 761 and 769 = 585209

Step 1: Find the prime factorization of 761

761 = 761

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 = 585209 = 761 x 769

Step 4: Therefore, the least common multiple of 761 and 769 is 585209.