Least Common Multiple of 1469 and 1476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1469 and 1476 the smallest integer that is 2168244 that is divisible by both numbers.

Least Common Multiple (LCM) of 1469 and 1476 is 2168244.

LCM(1469,1476) = 2168244

LCM of 1469 and 1476

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

LCM of:
and

Least Common Multiple of 1469 and 1476

LCM of 1469 and 1476 is 2168244

Least common multiple can be found by multiplying the highest exponent prime factors of 1469 and 1476. First we will calculate the prime factors of 1469 and 1476.

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

Prime Factorization of 1476


2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 1476 are 2, 3,41. Prime factorization of 1476 in exponential form is:

1476 = 22×32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1469 and 1476.

LCM(1469,1476) = 22×32×131×411×1131
LCM(1469,1476) = 2168244

Factors of 1469

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

1, 13, 113, 1469

Factors of 1476

List of positive integer factors of 1476 that divides 1476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476

Least Common Multiple of 1469 and 1476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1469 and 1476, than apply into the LCM equation.

GCF(1469,1476) = 1
LCM(1469,1476) = ( 1469 × 1476) / 1
LCM(1469,1476) = 2168244 / 1
LCM(1469,1476) = 2168244

Properties of LCM 1469 and 1476

(i) The LCM of 1476 and 1469 is associative

LCM of 1469 and 1476 = LCM of 1476 and 1469

Related Least Common Multiples of 1469

Related Least Common Multiples of 1476

Frequently Asked Questions on LCM of 1469 and 1476

1. What is the LCM of 1469 and 1476?

Answer: LCM of 1469 and 1476 is 2168244.

2. 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.

3. What are the Factors of 1476?

Answer: Factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476. There are 18 integers that are factors of 1476. The greatest factor of 1476 is 1476.

4. How to Find the LCM of 1469 and 1476?

Answer:

Least Common Multiple of 1469 and 1476 = 2168244

Step 1: Find the prime factorization of 1469

1469 = 13 x 113

Step 2: Find the prime factorization of 1476

1476 = 2 x 2 x 3 x 3 x 41

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

LCM = 2168244 = 2 x 2 x 3 x 3 x 13 x 41 x 113

Step 4: Therefore, the least common multiple of 1469 and 1476 is 2168244.