Least Common Multiple of 1774 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 1774 and 1781 the smallest integer that is 3159494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1774 and 1781 is 3159494.

LCM(1774,1781) = 3159494

LCM of 1774 and 1781

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

LCM of:
and

Least Common Multiple of 1774 and 1781

LCM of 1774 and 1781 is 3159494

Least common multiple can be found by multiplying the highest exponent prime factors of 1774 and 1781. First we will calculate the prime factors of 1774 and 1781.

Prime Factorization of 1774


2 1774
887 887
1

Prime factors of 1774 are 2,887. Prime factorization of 1774 in exponential form is:

1774 = 21×8871

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 1774 and 1781.

LCM(1774,1781) = 21×131×1371×8871
LCM(1774,1781) = 3159494

Factors of 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1, 2, 887, 1774

Factors of 1781

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

1, 13, 137, 1781

Least Common Multiple of 1774 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 1774 and 1781, than apply into the LCM equation.

GCF(1774,1781) = 1
LCM(1774,1781) = ( 1774 × 1781) / 1
LCM(1774,1781) = 3159494 / 1
LCM(1774,1781) = 3159494

Properties of LCM 1774 and 1781

(i) The LCM of 1781 and 1774 is associative

LCM of 1774 and 1781 = LCM of 1781 and 1774

Related Least Common Multiples of 1774

Related Least Common Multiples of 1781

Frequently Asked Questions on LCM of 1774 and 1781

1. What is the LCM of 1774 and 1781?

Answer: LCM of 1774 and 1781 is 3159494.

2. What are the Factors of 1774?

Answer: Factors of 1774 are 1, 2, 887, 1774. There are 4 integers that are factors of 1774. The greatest factor of 1774 is 1774.

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 1774 and 1781?

Answer:

Least Common Multiple of 1774 and 1781 = 3159494

Step 1: Find the prime factorization of 1774

1774 = 2 x 887

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 = 3159494 = 2 x 13 x 137 x 887

Step 4: Therefore, the least common multiple of 1774 and 1781 is 3159494.