Least Common Multiple of 1451 and 1455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1451 and 1455 the smallest integer that is 2111205 that is divisible by both numbers.

Least Common Multiple (LCM) of 1451 and 1455 is 2111205.

LCM(1451,1455) = 2111205

LCM of 1451 and 1455

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

LCM of:
and

Least Common Multiple of 1451 and 1455

LCM of 1451 and 1455 is 2111205

Least common multiple can be found by multiplying the highest exponent prime factors of 1451 and 1455. First we will calculate the prime factors of 1451 and 1455.

Prime Factorization of 1451


1451 1451
1

Prime factors of 1451 are 1451. Prime factorization of 1451 in exponential form is:

1451 = 14511

Prime Factorization of 1455


3 1455
5 485
97 97
1

Prime factors of 1455 are 3, 5,97. Prime factorization of 1455 in exponential form is:

1455 = 31×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1451 and 1455.

LCM(1451,1455) = 31×51×971×14511
LCM(1451,1455) = 2111205

Factors of 1451

List of positive integer factors of 1451 that divides 1451 without a remainder.

1, 1451

Factors of 1455

List of positive integer factors of 1455 that divides 1455 without a remainder.

1, 3, 5, 15, 97, 291, 485, 1455

Least Common Multiple of 1451 and 1455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1451 and 1455, than apply into the LCM equation.

GCF(1451,1455) = 1
LCM(1451,1455) = ( 1451 × 1455) / 1
LCM(1451,1455) = 2111205 / 1
LCM(1451,1455) = 2111205

Properties of LCM 1451 and 1455

(i) The LCM of 1455 and 1451 is associative

LCM of 1451 and 1455 = LCM of 1455 and 1451

Related Least Common Multiples of 1451

Related Least Common Multiples of 1455

Frequently Asked Questions on LCM of 1451 and 1455

1. What is the LCM of 1451 and 1455?

Answer: LCM of 1451 and 1455 is 2111205.

2. What are the Factors of 1451?

Answer: Factors of 1451 are 1, 1451. There are 2 integers that are factors of 1451. The greatest factor of 1451 is 1451.

3. What are the Factors of 1455?

Answer: Factors of 1455 are 1, 3, 5, 15, 97, 291, 485, 1455. There are 8 integers that are factors of 1455. The greatest factor of 1455 is 1455.

4. How to Find the LCM of 1451 and 1455?

Answer:

Least Common Multiple of 1451 and 1455 = 2111205

Step 1: Find the prime factorization of 1451

1451 = 1451

Step 2: Find the prime factorization of 1455

1455 = 3 x 5 x 97

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

LCM = 2111205 = 3 x 5 x 97 x 1451

Step 4: Therefore, the least common multiple of 1451 and 1455 is 2111205.