Least Common Multiple of 754 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 754 and 762 the smallest integer that is 287274 that is divisible by both numbers.

Least Common Multiple (LCM) of 754 and 762 is 287274.

LCM(754,762) = 287274

LCM of 754 and 762

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

LCM of:
and

Least Common Multiple of 754 and 762

LCM of 754 and 762 is 287274

Least common multiple can be found by multiplying the highest exponent prime factors of 754 and 762. First we will calculate the prime factors of 754 and 762.

Prime Factorization of 754


2 754
13 377
29 29
1

Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:

754 = 21×131×291

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 754 and 762.

LCM(754,762) = 21×31×131×291×1271
LCM(754,762) = 287274

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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 754 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 754 and 762, than apply into the LCM equation.

GCF(754,762) = 2
LCM(754,762) = ( 754 × 762) / 2
LCM(754,762) = 574548 / 2
LCM(754,762) = 287274

Properties of LCM 754 and 762

(i) The LCM of 762 and 754 is associative

LCM of 754 and 762 = LCM of 762 and 754

Related Least Common Multiples of 754

Related Least Common Multiples of 762

Frequently Asked Questions on LCM of 754 and 762

1. What is the LCM of 754 and 762?

Answer: LCM of 754 and 762 is 287274.

2. What are the Factors of 754?

Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.

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 754 and 762?

Answer:

Least Common Multiple of 754 and 762 = 287274

Step 1: Find the prime factorization of 754

754 = 2 x 13 x 29

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 = 287274 = 2 x 3 x 13 x 29 x 127

Step 4: Therefore, the least common multiple of 754 and 762 is 287274.