Least Common Multiple of 1460 and 1468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1460 and 1468 the smallest integer that is 535820 that is divisible by both numbers.

Least Common Multiple (LCM) of 1460 and 1468 is 535820.

LCM(1460,1468) = 535820

LCM of 1460 and 1468

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

LCM of:
and

Least Common Multiple of 1460 and 1468

LCM of 1460 and 1468 is 535820

Least common multiple can be found by multiplying the highest exponent prime factors of 1460 and 1468. First we will calculate the prime factors of 1460 and 1468.

Prime Factorization of 1460


2 1460
2 730
5 365
73 73
1

Prime factors of 1460 are 2, 5,73. Prime factorization of 1460 in exponential form is:

1460 = 22×51×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1460 and 1468.

LCM(1460,1468) = 22×51×731×3671
LCM(1460,1468) = 535820

Factors of 1460

List of positive integer factors of 1460 that divides 1460 without a remainder.

1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460

Factors of 1468

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

1, 2, 4, 367, 734, 1468

Least Common Multiple of 1460 and 1468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1460 and 1468, than apply into the LCM equation.

GCF(1460,1468) = 4
LCM(1460,1468) = ( 1460 × 1468) / 4
LCM(1460,1468) = 2143280 / 4
LCM(1460,1468) = 535820

Properties of LCM 1460 and 1468

(i) The LCM of 1468 and 1460 is associative

LCM of 1460 and 1468 = LCM of 1468 and 1460

Related Least Common Multiples of 1460

Related Least Common Multiples of 1468

Frequently Asked Questions on LCM of 1460 and 1468

1. What is the LCM of 1460 and 1468?

Answer: LCM of 1460 and 1468 is 535820.

2. What are the Factors of 1460?

Answer: Factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460. There are 12 integers that are factors of 1460. The greatest factor of 1460 is 1460.

3. 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.

4. How to Find the LCM of 1460 and 1468?

Answer:

Least Common Multiple of 1460 and 1468 = 535820

Step 1: Find the prime factorization of 1460

1460 = 2 x 2 x 5 x 73

Step 2: Find the prime factorization of 1468

1468 = 2 x 2 x 367

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

LCM = 535820 = 2 x 2 x 5 x 73 x 367

Step 4: Therefore, the least common multiple of 1460 and 1468 is 535820.