Least Common Multiple of 1468 and 1469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1468 and 1469 the smallest integer that is 2156492 that is divisible by both numbers.

Least Common Multiple (LCM) of 1468 and 1469 is 2156492.

LCM(1468,1469) = 2156492

LCM of 1468 and 1469

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

LCM of:
and

Least Common Multiple of 1468 and 1469

LCM of 1468 and 1469 is 2156492

Least common multiple can be found by multiplying the highest exponent prime factors of 1468 and 1469. First we will calculate the prime factors of 1468 and 1469.

Prime Factorization of 1468


2 1468
2 734
367 367
1

Prime factors of 1468 are 2,367. Prime factorization of 1468 in exponential form is:

1468 = 22×3671

Prime Factorization of 1469


13 1469
113 113
1

Prime factors of 1469 are 13,113. Prime factorization of 1469 in exponential form is:

1469 = 131×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1468 and 1469.

LCM(1468,1469) = 22×131×1131×3671
LCM(1468,1469) = 2156492

Factors of 1468

List of positive integer factors of 1468 that divides 1468 without a remainder.

1, 2, 4, 367, 734, 1468

Factors of 1469

List of positive integer factors of 1469 that divides 1469 without a remainder.

1, 13, 113, 1469

Least Common Multiple of 1468 and 1469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1468 and 1469, than apply into the LCM equation.

GCF(1468,1469) = 1
LCM(1468,1469) = ( 1468 × 1469) / 1
LCM(1468,1469) = 2156492 / 1
LCM(1468,1469) = 2156492

Properties of LCM 1468 and 1469

(i) The LCM of 1469 and 1468 is associative

LCM of 1468 and 1469 = LCM of 1469 and 1468

Related Least Common Multiples of 1468

Related Least Common Multiples of 1469

Frequently Asked Questions on LCM of 1468 and 1469

1. What is the LCM of 1468 and 1469?

Answer: LCM of 1468 and 1469 is 2156492.

2. What are the Factors of 1468?

Answer: Factors of 1468 are 1, 2, 4, 367, 734, 1468. There are 6 integers that are factors of 1468. The greatest factor of 1468 is 1468.

3. What are the Factors of 1469?

Answer: Factors of 1469 are 1, 13, 113, 1469. There are 4 integers that are factors of 1469. The greatest factor of 1469 is 1469.

4. How to Find the LCM of 1468 and 1469?

Answer:

Least Common Multiple of 1468 and 1469 = 2156492

Step 1: Find the prime factorization of 1468

1468 = 2 x 2 x 367

Step 2: Find the prime factorization of 1469

1469 = 13 x 113

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

LCM = 2156492 = 2 x 2 x 13 x 113 x 367

Step 4: Therefore, the least common multiple of 1468 and 1469 is 2156492.