Least Common Multiple of 772 and 780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 772 and 780 the smallest integer that is 150540 that is divisible by both numbers.

Least Common Multiple (LCM) of 772 and 780 is 150540.

LCM(772,780) = 150540

LCM of 772 and 780

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

LCM of:
and

Least Common Multiple of 772 and 780

LCM of 772 and 780 is 150540

Least common multiple can be found by multiplying the highest exponent prime factors of 772 and 780. First we will calculate the prime factors of 772 and 780.

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

Prime Factorization of 780


2 780
2 390
3 195
5 65
13 13
1

Prime factors of 780 are 2, 3, 5,13. Prime factorization of 780 in exponential form is:

780 = 22×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 772 and 780.

LCM(772,780) = 22×31×51×131×1931
LCM(772,780) = 150540

Factors of 772

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

1, 2, 4, 193, 386, 772

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Least Common Multiple of 772 and 780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 772 and 780, than apply into the LCM equation.

GCF(772,780) = 4
LCM(772,780) = ( 772 × 780) / 4
LCM(772,780) = 602160 / 4
LCM(772,780) = 150540

Properties of LCM 772 and 780

(i) The LCM of 780 and 772 is associative

LCM of 772 and 780 = LCM of 780 and 772

Related Least Common Multiples of 772

Related Least Common Multiples of 780

Frequently Asked Questions on LCM of 772 and 780

1. What is the LCM of 772 and 780?

Answer: LCM of 772 and 780 is 150540.

2. 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.

3. What are the Factors of 780?

Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.

4. How to Find the LCM of 772 and 780?

Answer:

Least Common Multiple of 772 and 780 = 150540

Step 1: Find the prime factorization of 772

772 = 2 x 2 x 193

Step 2: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

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

LCM = 150540 = 2 x 2 x 3 x 5 x 13 x 193

Step 4: Therefore, the least common multiple of 772 and 780 is 150540.