Least Common Multiple of 760 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 760 and 762 the smallest integer that is 289560 that is divisible by both numbers.

Least Common Multiple (LCM) of 760 and 762 is 289560.

LCM(760,762) = 289560

LCM of 760 and 762

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

LCM of:
and

Least Common Multiple of 760 and 762

LCM of 760 and 762 is 289560

Least common multiple can be found by multiplying the highest exponent prime factors of 760 and 762. First we will calculate the prime factors of 760 and 762.

Prime Factorization of 760


2 760
2 380
2 190
5 95
19 19
1

Prime factors of 760 are 2, 5,19. Prime factorization of 760 in exponential form is:

760 = 23×51×191

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 760 and 762.

LCM(760,762) = 23×31×51×191×1271
LCM(760,762) = 289560

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 760 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 760 and 762, than apply into the LCM equation.

GCF(760,762) = 2
LCM(760,762) = ( 760 × 762) / 2
LCM(760,762) = 579120 / 2
LCM(760,762) = 289560

Properties of LCM 760 and 762

(i) The LCM of 762 and 760 is associative

LCM of 760 and 762 = LCM of 762 and 760

Related Least Common Multiples of 760

Related Least Common Multiples of 762

Frequently Asked Questions on LCM of 760 and 762

1. What is the LCM of 760 and 762?

Answer: LCM of 760 and 762 is 289560.

2. What are the Factors of 760?

Answer: Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. There are 16 integers that are factors of 760. The greatest factor of 760 is 760.

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 760 and 762?

Answer:

Least Common Multiple of 760 and 762 = 289560

Step 1: Find the prime factorization of 760

760 = 2 x 2 x 2 x 5 x 19

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 = 289560 = 2 x 2 x 2 x 3 x 5 x 19 x 127

Step 4: Therefore, the least common multiple of 760 and 762 is 289560.