Least Common Multiple of 781 and 788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 781 and 788 the smallest integer that is 615428 that is divisible by both numbers.

Least Common Multiple (LCM) of 781 and 788 is 615428.

LCM(781,788) = 615428

LCM of 781 and 788

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

LCM of:
and

Least Common Multiple of 781 and 788

LCM of 781 and 788 is 615428

Least common multiple can be found by multiplying the highest exponent prime factors of 781 and 788. First we will calculate the prime factors of 781 and 788.

Prime Factorization of 781


11 781
71 71
1

Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:

781 = 111×711

Prime Factorization of 788


2 788
2 394
197 197
1

Prime factors of 788 are 2,197. Prime factorization of 788 in exponential form is:

788 = 22×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 781 and 788.

LCM(781,788) = 22×111×711×1971
LCM(781,788) = 615428

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Least Common Multiple of 781 and 788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 781 and 788, than apply into the LCM equation.

GCF(781,788) = 1
LCM(781,788) = ( 781 × 788) / 1
LCM(781,788) = 615428 / 1
LCM(781,788) = 615428

Properties of LCM 781 and 788

(i) The LCM of 788 and 781 is associative

LCM of 781 and 788 = LCM of 788 and 781

Related Least Common Multiples of 781

Related Least Common Multiples of 788

Frequently Asked Questions on LCM of 781 and 788

1. What is the LCM of 781 and 788?

Answer: LCM of 781 and 788 is 615428.

2. What are the Factors of 781?

Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.

3. What are the Factors of 788?

Answer: Factors of 788 are 1, 2, 4, 197, 394, 788. There are 6 integers that are factors of 788. The greatest factor of 788 is 788.

4. How to Find the LCM of 781 and 788?

Answer:

Least Common Multiple of 781 and 788 = 615428

Step 1: Find the prime factorization of 781

781 = 11 x 71

Step 2: Find the prime factorization of 788

788 = 2 x 2 x 197

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

LCM = 615428 = 2 x 2 x 11 x 71 x 197

Step 4: Therefore, the least common multiple of 781 and 788 is 615428.