Least Common Multiple of 759 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 759 and 762 the smallest integer that is 192786 that is divisible by both numbers.

Least Common Multiple (LCM) of 759 and 762 is 192786.

LCM(759,762) = 192786

LCM of 759 and 762

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

LCM of:
and

Least Common Multiple of 759 and 762

LCM of 759 and 762 is 192786

Least common multiple can be found by multiplying the highest exponent prime factors of 759 and 762. First we will calculate the prime factors of 759 and 762.

Prime Factorization of 759


3 759
11 253
23 23
1

Prime factors of 759 are 3, 11,23. Prime factorization of 759 in exponential form is:

759 = 31×111×231

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 759 and 762.

LCM(759,762) = 21×31×111×231×1271
LCM(759,762) = 192786

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

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 759 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 759 and 762, than apply into the LCM equation.

GCF(759,762) = 3
LCM(759,762) = ( 759 × 762) / 3
LCM(759,762) = 578358 / 3
LCM(759,762) = 192786

Properties of LCM 759 and 762

(i) The LCM of 762 and 759 is associative

LCM of 759 and 762 = LCM of 762 and 759

Related Least Common Multiples of 759

Related Least Common Multiples of 762

Frequently Asked Questions on LCM of 759 and 762

1. What is the LCM of 759 and 762?

Answer: LCM of 759 and 762 is 192786.

2. What are the Factors of 759?

Answer: Factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759. There are 8 integers that are factors of 759. The greatest factor of 759 is 759.

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 759 and 762?

Answer:

Least Common Multiple of 759 and 762 = 192786

Step 1: Find the prime factorization of 759

759 = 3 x 11 x 23

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 = 192786 = 2 x 3 x 11 x 23 x 127

Step 4: Therefore, the least common multiple of 759 and 762 is 192786.