Least Common Multiple of 1460 and 1467

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 1467 the smallest integer that is 2141820 that is divisible by both numbers.

Least Common Multiple (LCM) of 1460 and 1467 is 2141820.

LCM(1460,1467) = 2141820

LCM of 1460 and 1467

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

LCM of:
and

Least Common Multiple of 1460 and 1467

LCM of 1460 and 1467 is 2141820

Least common multiple can be found by multiplying the highest exponent prime factors of 1460 and 1467. First we will calculate the prime factors of 1460 and 1467.

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 1467


3 1467
3 489
163 163
1

Prime factors of 1467 are 3,163. Prime factorization of 1467 in exponential form is:

1467 = 32×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1460 and 1467.

LCM(1460,1467) = 22×32×51×731×1631
LCM(1460,1467) = 2141820

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 1467

List of positive integer factors of 1467 that divides 1467 without a remainder.

1, 3, 9, 163, 489, 1467

Least Common Multiple of 1460 and 1467 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 1467, than apply into the LCM equation.

GCF(1460,1467) = 1
LCM(1460,1467) = ( 1460 × 1467) / 1
LCM(1460,1467) = 2141820 / 1
LCM(1460,1467) = 2141820

Properties of LCM 1460 and 1467

(i) The LCM of 1467 and 1460 is associative

LCM of 1460 and 1467 = LCM of 1467 and 1460

Related Least Common Multiples of 1460

Related Least Common Multiples of 1467

Frequently Asked Questions on LCM of 1460 and 1467

1. What is the LCM of 1460 and 1467?

Answer: LCM of 1460 and 1467 is 2141820.

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 1467?

Answer: Factors of 1467 are 1, 3, 9, 163, 489, 1467. There are 6 integers that are factors of 1467. The greatest factor of 1467 is 1467.

4. How to Find the LCM of 1460 and 1467?

Answer:

Least Common Multiple of 1460 and 1467 = 2141820

Step 1: Find the prime factorization of 1460

1460 = 2 x 2 x 5 x 73

Step 2: Find the prime factorization of 1467

1467 = 3 x 3 x 163

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

LCM = 2141820 = 2 x 2 x 3 x 3 x 5 x 73 x 163

Step 4: Therefore, the least common multiple of 1460 and 1467 is 2141820.