Least Common Multiple of 755 and 762

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 762 the smallest integer that is 575310 that is divisible by both numbers.

Least Common Multiple (LCM) of 755 and 762 is 575310.

LCM(755,762) = 575310

LCM of 755 and 762

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

LCM of:
and

Least Common Multiple of 755 and 762

LCM of 755 and 762 is 575310

Least common multiple can be found by multiplying the highest exponent prime factors of 755 and 762. First we will calculate the prime factors of 755 and 762.

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 762


2 762
3 381
127 127
1

Prime factors of 762 are 2, 3,127. Prime factorization of 762 in exponential form is:

762 = 21×31×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 755 and 762.

LCM(755,762) = 21×31×51×1271×1511
LCM(755,762) = 575310

Factors of 755

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

1, 5, 151, 755

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Least Common Multiple of 755 and 762 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 762, than apply into the LCM equation.

GCF(755,762) = 1
LCM(755,762) = ( 755 × 762) / 1
LCM(755,762) = 575310 / 1
LCM(755,762) = 575310

Properties of LCM 755 and 762

(i) The LCM of 762 and 755 is associative

LCM of 755 and 762 = LCM of 762 and 755

Related Least Common Multiples of 755

Related Least Common Multiples of 762

Frequently Asked Questions on LCM of 755 and 762

1. What is the LCM of 755 and 762?

Answer: LCM of 755 and 762 is 575310.

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 762?

Answer: Factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762. There are 8 integers that are factors of 762. The greatest factor of 762 is 762.

4. How to Find the LCM of 755 and 762?

Answer:

Least Common Multiple of 755 and 762 = 575310

Step 1: Find the prime factorization of 755

755 = 5 x 151

Step 2: Find the prime factorization of 762

762 = 2 x 3 x 127

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

LCM = 575310 = 2 x 3 x 5 x 127 x 151

Step 4: Therefore, the least common multiple of 755 and 762 is 575310.