Least Common Multiple of 773 and 781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 773 and 781 the smallest integer that is 603713 that is divisible by both numbers.

Least Common Multiple (LCM) of 773 and 781 is 603713.

LCM(773,781) = 603713

LCM of 773 and 781

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

LCM of:
and

Least Common Multiple of 773 and 781

LCM of 773 and 781 is 603713

Least common multiple can be found by multiplying the highest exponent prime factors of 773 and 781. First we will calculate the prime factors of 773 and 781.

Prime Factorization of 773


773 773
1

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 7731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 773 and 781.

LCM(773,781) = 111×711×7731
LCM(773,781) = 603713

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1, 773

Factors of 781

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

1, 11, 71, 781

Least Common Multiple of 773 and 781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 773 and 781, than apply into the LCM equation.

GCF(773,781) = 1
LCM(773,781) = ( 773 × 781) / 1
LCM(773,781) = 603713 / 1
LCM(773,781) = 603713

Properties of LCM 773 and 781

(i) The LCM of 781 and 773 is associative

LCM of 773 and 781 = LCM of 781 and 773

Related Least Common Multiples of 773

Related Least Common Multiples of 781

Frequently Asked Questions on LCM of 773 and 781

1. What is the LCM of 773 and 781?

Answer: LCM of 773 and 781 is 603713.

2. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

3. 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.

4. How to Find the LCM of 773 and 781?

Answer:

Least Common Multiple of 773 and 781 = 603713

Step 1: Find the prime factorization of 773

773 = 773

Step 2: Find the prime factorization of 781

781 = 11 x 71

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

LCM = 603713 = 11 x 71 x 773

Step 4: Therefore, the least common multiple of 773 and 781 is 603713.