Least Common Multiple of 770 and 772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 770 and 772 the smallest integer that is 297220 that is divisible by both numbers.

Least Common Multiple (LCM) of 770 and 772 is 297220.

LCM(770,772) = 297220

LCM of 770 and 772

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

LCM of:
and

Least Common Multiple of 770 and 772

LCM of 770 and 772 is 297220

Least common multiple can be found by multiplying the highest exponent prime factors of 770 and 772. First we will calculate the prime factors of 770 and 772.

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

Prime Factorization of 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 770 and 772.

LCM(770,772) = 22×51×71×111×1931
LCM(770,772) = 297220

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

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Least Common Multiple of 770 and 772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 770 and 772, than apply into the LCM equation.

GCF(770,772) = 2
LCM(770,772) = ( 770 × 772) / 2
LCM(770,772) = 594440 / 2
LCM(770,772) = 297220

Properties of LCM 770 and 772

(i) The LCM of 772 and 770 is associative

LCM of 770 and 772 = LCM of 772 and 770

Related Least Common Multiples of 770

Related Least Common Multiples of 772

Frequently Asked Questions on LCM of 770 and 772

1. What is the LCM of 770 and 772?

Answer: LCM of 770 and 772 is 297220.

2. 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.

3. What are the Factors of 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the LCM of 770 and 772?

Answer:

Least Common Multiple of 770 and 772 = 297220

Step 1: Find the prime factorization of 770

770 = 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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

LCM = 297220 = 2 x 2 x 5 x 7 x 11 x 193

Step 4: Therefore, the least common multiple of 770 and 772 is 297220.