Least Common Multiple of 762 and 767

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 767 the smallest integer that is 584454 that is divisible by both numbers.

Least Common Multiple (LCM) of 762 and 767 is 584454.

LCM(762,767) = 584454

LCM of 762 and 767

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

LCM of:
and

Least Common Multiple of 762 and 767

LCM of 762 and 767 is 584454

Least common multiple can be found by multiplying the highest exponent prime factors of 762 and 767. First we will calculate the prime factors of 762 and 767.

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 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 762 and 767.

LCM(762,767) = 21×31×131×591×1271
LCM(762,767) = 584454

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 767

List of positive integer factors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Least Common Multiple of 762 and 767 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 767, than apply into the LCM equation.

GCF(762,767) = 1
LCM(762,767) = ( 762 × 767) / 1
LCM(762,767) = 584454 / 1
LCM(762,767) = 584454

Properties of LCM 762 and 767

(i) The LCM of 767 and 762 is associative

LCM of 762 and 767 = LCM of 767 and 762

Related Least Common Multiples of 762

Related Least Common Multiples of 767

Frequently Asked Questions on LCM of 762 and 767

1. What is the LCM of 762 and 767?

Answer: LCM of 762 and 767 is 584454.

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 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

4. How to Find the LCM of 762 and 767?

Answer:

Least Common Multiple of 762 and 767 = 584454

Step 1: Find the prime factorization of 762

762 = 2 x 3 x 127

Step 2: Find the prime factorization of 767

767 = 13 x 59

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

LCM = 584454 = 2 x 3 x 13 x 59 x 127

Step 4: Therefore, the least common multiple of 762 and 767 is 584454.