Least Common Multiple of 1454 and 1460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1454 and 1460 the smallest integer that is 1061420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1454 and 1460 is 1061420.

LCM(1454,1460) = 1061420

LCM of 1454 and 1460

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

LCM of:
and

Least Common Multiple of 1454 and 1460

LCM of 1454 and 1460 is 1061420

Least common multiple can be found by multiplying the highest exponent prime factors of 1454 and 1460. First we will calculate the prime factors of 1454 and 1460.

Prime Factorization of 1454


2 1454
727 727
1

Prime factors of 1454 are 2,727. Prime factorization of 1454 in exponential form is:

1454 = 21×7271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1454 and 1460.

LCM(1454,1460) = 22×51×731×7271
LCM(1454,1460) = 1061420

Factors of 1454

List of positive integer factors of 1454 that divides 1454 without a remainder.

1, 2, 727, 1454

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

Least Common Multiple of 1454 and 1460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1454 and 1460, than apply into the LCM equation.

GCF(1454,1460) = 2
LCM(1454,1460) = ( 1454 × 1460) / 2
LCM(1454,1460) = 2122840 / 2
LCM(1454,1460) = 1061420

Properties of LCM 1454 and 1460

(i) The LCM of 1460 and 1454 is associative

LCM of 1454 and 1460 = LCM of 1460 and 1454

Related Least Common Multiples of 1454

Related Least Common Multiples of 1460

Frequently Asked Questions on LCM of 1454 and 1460

1. What is the LCM of 1454 and 1460?

Answer: LCM of 1454 and 1460 is 1061420.

2. What are the Factors of 1454?

Answer: Factors of 1454 are 1, 2, 727, 1454. There are 4 integers that are factors of 1454. The greatest factor of 1454 is 1454.

3. 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.

4. How to Find the LCM of 1454 and 1460?

Answer:

Least Common Multiple of 1454 and 1460 = 1061420

Step 1: Find the prime factorization of 1454

1454 = 2 x 727

Step 2: Find the prime factorization of 1460

1460 = 2 x 2 x 5 x 73

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

LCM = 1061420 = 2 x 2 x 5 x 73 x 727

Step 4: Therefore, the least common multiple of 1454 and 1460 is 1061420.