Least Common Multiple of 755 and 763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 755 and 763 the smallest integer that is 576065 that is divisible by both numbers.

Least Common Multiple (LCM) of 755 and 763 is 576065.

LCM(755,763) = 576065

LCM of 755 and 763

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

LCM of:
and

Least Common Multiple of 755 and 763

LCM of 755 and 763 is 576065

Least common multiple can be found by multiplying the highest exponent prime factors of 755 and 763. First we will calculate the prime factors of 755 and 763.

Prime Factorization of 755


5 755
151 151
1

Prime factors of 755 are 5,151. Prime factorization of 755 in exponential form is:

755 = 51×1511

Prime Factorization of 763


7 763
109 109
1

Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:

763 = 71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 755 and 763.

LCM(755,763) = 51×71×1091×1511
LCM(755,763) = 576065

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Least Common Multiple of 755 and 763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 755 and 763, than apply into the LCM equation.

GCF(755,763) = 1
LCM(755,763) = ( 755 × 763) / 1
LCM(755,763) = 576065 / 1
LCM(755,763) = 576065

Properties of LCM 755 and 763

(i) The LCM of 763 and 755 is associative

LCM of 755 and 763 = LCM of 763 and 755

Related Least Common Multiples of 755

Related Least Common Multiples of 763

Frequently Asked Questions on LCM of 755 and 763

1. What is the LCM of 755 and 763?

Answer: LCM of 755 and 763 is 576065.

2. What are the Factors of 755?

Answer: Factors of 755 are 1, 5, 151, 755. There are 4 integers that are factors of 755. The greatest factor of 755 is 755.

3. What are the Factors of 763?

Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.

4. How to Find the LCM of 755 and 763?

Answer:

Least Common Multiple of 755 and 763 = 576065

Step 1: Find the prime factorization of 755

755 = 5 x 151

Step 2: Find the prime factorization of 763

763 = 7 x 109

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

LCM = 576065 = 5 x 7 x 109 x 151

Step 4: Therefore, the least common multiple of 755 and 763 is 576065.