Least Common Multiple of 756 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 756 and 762 the smallest integer that is 96012 that is divisible by both numbers.

Least Common Multiple (LCM) of 756 and 762 is 96012.

LCM(756,762) = 96012

LCM of 756 and 762

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

LCM of:
and

Least Common Multiple of 756 and 762

LCM of 756 and 762 is 96012

Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 762. First we will calculate the prime factors of 756 and 762.

Prime Factorization of 756


2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 756 are 2, 3,7. Prime factorization of 756 in exponential form is:

756 = 22×33×71

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 756 and 762.

LCM(756,762) = 22×33×71×1271
LCM(756,762) = 96012

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 756 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 756 and 762, than apply into the LCM equation.

GCF(756,762) = 6
LCM(756,762) = ( 756 × 762) / 6
LCM(756,762) = 576072 / 6
LCM(756,762) = 96012

Properties of LCM 756 and 762

(i) The LCM of 762 and 756 is associative

LCM of 756 and 762 = LCM of 762 and 756

Related Least Common Multiples of 756

Related Least Common Multiples of 762

Frequently Asked Questions on LCM of 756 and 762

1. What is the LCM of 756 and 762?

Answer: LCM of 756 and 762 is 96012.

2. What are the Factors of 756?

Answer: Factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. There are 24 integers that are factors of 756. The greatest factor of 756 is 756.

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 756 and 762?

Answer:

Least Common Multiple of 756 and 762 = 96012

Step 1: Find the prime factorization of 756

756 = 2 x 2 x 3 x 3 x 3 x 7

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 = 96012 = 2 x 2 x 3 x 3 x 3 x 7 x 127

Step 4: Therefore, the least common multiple of 756 and 762 is 96012.