Least Common Multiple of 762 and 770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 762 and 770 the smallest integer that is 293370 that is divisible by both numbers.

Least Common Multiple (LCM) of 762 and 770 is 293370.

LCM(762,770) = 293370

LCM of 762 and 770

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

LCM of:
and

Least Common Multiple of 762 and 770

LCM of 762 and 770 is 293370

Least common multiple can be found by multiplying the highest exponent prime factors of 762 and 770. First we will calculate the prime factors of 762 and 770.

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

Prime Factorization of 770


2 770
5 385
7 77
11 11
1

Prime factors of 770 are 2, 5, 7,11. Prime factorization of 770 in exponential form is:

770 = 21×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 762 and 770.

LCM(762,770) = 21×31×51×71×111×1271
LCM(762,770) = 293370

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Least Common Multiple of 762 and 770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 762 and 770, than apply into the LCM equation.

GCF(762,770) = 2
LCM(762,770) = ( 762 × 770) / 2
LCM(762,770) = 586740 / 2
LCM(762,770) = 293370

Properties of LCM 762 and 770

(i) The LCM of 770 and 762 is associative

LCM of 762 and 770 = LCM of 770 and 762

Related Least Common Multiples of 762

Related Least Common Multiples of 770

Frequently Asked Questions on LCM of 762 and 770

1. What is the LCM of 762 and 770?

Answer: LCM of 762 and 770 is 293370.

2. 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.

3. What are the Factors of 770?

Answer: Factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. There are 16 integers that are factors of 770. The greatest factor of 770 is 770.

4. How to Find the LCM of 762 and 770?

Answer:

Least Common Multiple of 762 and 770 = 293370

Step 1: Find the prime factorization of 762

762 = 2 x 3 x 127

Step 2: Find the prime factorization of 770

770 = 2 x 5 x 7 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 293370 = 2 x 3 x 5 x 7 x 11 x 127

Step 4: Therefore, the least common multiple of 762 and 770 is 293370.