Least Common Multiple of 1777 and 1781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1777 and 1781 the smallest integer that is 3164837 that is divisible by both numbers.

Least Common Multiple (LCM) of 1777 and 1781 is 3164837.

LCM(1777,1781) = 3164837

LCM of 1777 and 1781

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

LCM of:
and

Least Common Multiple of 1777 and 1781

LCM of 1777 and 1781 is 3164837

Least common multiple can be found by multiplying the highest exponent prime factors of 1777 and 1781. First we will calculate the prime factors of 1777 and 1781.

Prime Factorization of 1777


1777 1777
1

Prime factors of 1777 are 1777. Prime factorization of 1777 in exponential form is:

1777 = 17771

Prime Factorization of 1781


13 1781
137 137
1

Prime factors of 1781 are 13,137. Prime factorization of 1781 in exponential form is:

1781 = 131×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1777 and 1781.

LCM(1777,1781) = 131×1371×17771
LCM(1777,1781) = 3164837

Factors of 1777

List of positive integer factors of 1777 that divides 1777 without a remainder.

1, 1777

Factors of 1781

List of positive integer factors of 1781 that divides 1781 without a remainder.

1, 13, 137, 1781

Least Common Multiple of 1777 and 1781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1777 and 1781, than apply into the LCM equation.

GCF(1777,1781) = 1
LCM(1777,1781) = ( 1777 × 1781) / 1
LCM(1777,1781) = 3164837 / 1
LCM(1777,1781) = 3164837

Properties of LCM 1777 and 1781

(i) The LCM of 1781 and 1777 is associative

LCM of 1777 and 1781 = LCM of 1781 and 1777

Related Least Common Multiples of 1777

Related Least Common Multiples of 1781

Frequently Asked Questions on LCM of 1777 and 1781

1. What is the LCM of 1777 and 1781?

Answer: LCM of 1777 and 1781 is 3164837.

2. What are the Factors of 1777?

Answer: Factors of 1777 are 1, 1777. There are 2 integers that are factors of 1777. The greatest factor of 1777 is 1777.

3. What are the Factors of 1781?

Answer: Factors of 1781 are 1, 13, 137, 1781. There are 4 integers that are factors of 1781. The greatest factor of 1781 is 1781.

4. How to Find the LCM of 1777 and 1781?

Answer:

Least Common Multiple of 1777 and 1781 = 3164837

Step 1: Find the prime factorization of 1777

1777 = 1777

Step 2: Find the prime factorization of 1781

1781 = 13 x 137

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

LCM = 3164837 = 13 x 137 x 1777

Step 4: Therefore, the least common multiple of 1777 and 1781 is 3164837.