Least Common Multiple of 757 and 761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 757 and 761 the smallest integer that is 576077 that is divisible by both numbers.

Least Common Multiple (LCM) of 757 and 761 is 576077.

LCM(757,761) = 576077

LCM of 757 and 761

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

LCM of:
and

Least Common Multiple of 757 and 761

LCM of 757 and 761 is 576077

Least common multiple can be found by multiplying the highest exponent prime factors of 757 and 761. First we will calculate the prime factors of 757 and 761.

Prime Factorization of 757


757 757
1

Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:

757 = 7571

Prime Factorization of 761


761 761
1

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

761 = 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 757 and 761.

LCM(757,761) = 7571×7611
LCM(757,761) = 576077

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1, 757

Factors of 761

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

1, 761

Least Common Multiple of 757 and 761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 757 and 761, than apply into the LCM equation.

GCF(757,761) = 1
LCM(757,761) = ( 757 × 761) / 1
LCM(757,761) = 576077 / 1
LCM(757,761) = 576077

Properties of LCM 757 and 761

(i) The LCM of 761 and 757 is associative

LCM of 757 and 761 = LCM of 761 and 757

Related Least Common Multiples of 757

Related Least Common Multiples of 761

Frequently Asked Questions on LCM of 757 and 761

1. What is the LCM of 757 and 761?

Answer: LCM of 757 and 761 is 576077.

2. What are the Factors of 757?

Answer: Factors of 757 are 1, 757. There are 2 integers that are factors of 757. The greatest factor of 757 is 757.

3. 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.

4. How to Find the LCM of 757 and 761?

Answer:

Least Common Multiple of 757 and 761 = 576077

Step 1: Find the prime factorization of 757

757 = 757

Step 2: Find the prime factorization of 761

761 = 761

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

LCM = 576077 = 757 x 761

Step 4: Therefore, the least common multiple of 757 and 761 is 576077.