Least Common Multiple of 762 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 762 and 763 the smallest integer that is 581406 that is divisible by both numbers.

Least Common Multiple (LCM) of 762 and 763 is 581406.

LCM(762,763) = 581406

LCM of 762 and 763

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

LCM of:
and

Least Common Multiple of 762 and 763

LCM of 762 and 763 is 581406

Least common multiple can be found by multiplying the highest exponent prime factors of 762 and 763. First we will calculate the prime factors of 762 and 763.

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

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 762 and 763.

LCM(762,763) = 21×31×71×1091×1271
LCM(762,763) = 581406

Factors of 762

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

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

Factors of 763

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

1, 7, 109, 763

Least Common Multiple of 762 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 762 and 763, than apply into the LCM equation.

GCF(762,763) = 1
LCM(762,763) = ( 762 × 763) / 1
LCM(762,763) = 581406 / 1
LCM(762,763) = 581406

Properties of LCM 762 and 763

(i) The LCM of 763 and 762 is associative

LCM of 762 and 763 = LCM of 763 and 762

Related Least Common Multiples of 762

Related Least Common Multiples of 763

Frequently Asked Questions on LCM of 762 and 763

1. What is the LCM of 762 and 763?

Answer: LCM of 762 and 763 is 581406.

2. 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.

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 762 and 763?

Answer:

Least Common Multiple of 762 and 763 = 581406

Step 1: Find the prime factorization of 762

762 = 2 x 3 x 127

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 = 581406 = 2 x 3 x 7 x 109 x 127

Step 4: Therefore, the least common multiple of 762 and 763 is 581406.