Least Common Multiple of 757 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 757 and 762 the smallest integer that is 576834 that is divisible by both numbers.

Least Common Multiple (LCM) of 757 and 762 is 576834.

LCM(757,762) = 576834

LCM of 757 and 762

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

LCM of:
and

Least Common Multiple of 757 and 762

LCM of 757 and 762 is 576834

Least common multiple can be found by multiplying the highest exponent prime factors of 757 and 762. First we will calculate the prime factors of 757 and 762.

Prime Factorization of 757


757 757
1

Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:

757 = 7571

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 757 and 762.

LCM(757,762) = 21×31×1271×7571
LCM(757,762) = 576834

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1, 757

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 757 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 757 and 762, than apply into the LCM equation.

GCF(757,762) = 1
LCM(757,762) = ( 757 × 762) / 1
LCM(757,762) = 576834 / 1
LCM(757,762) = 576834

Properties of LCM 757 and 762

(i) The LCM of 762 and 757 is associative

LCM of 757 and 762 = LCM of 762 and 757

Related Least Common Multiples of 757

Related Least Common Multiples of 762

Frequently Asked Questions on LCM of 757 and 762

1. What is the LCM of 757 and 762?

Answer: LCM of 757 and 762 is 576834.

2. What are the Factors of 757?

Answer: Factors of 757 are 1, 757. There are 2 integers that are factors of 757. The greatest factor of 757 is 757.

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 757 and 762?

Answer:

Least Common Multiple of 757 and 762 = 576834

Step 1: Find the prime factorization of 757

757 = 757

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 = 576834 = 2 x 3 x 127 x 757

Step 4: Therefore, the least common multiple of 757 and 762 is 576834.