Least Common Multiple of 1465 and 1473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1465 and 1473 the smallest integer that is 2157945 that is divisible by both numbers.

Least Common Multiple (LCM) of 1465 and 1473 is 2157945.

LCM(1465,1473) = 2157945

LCM of 1465 and 1473

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

LCM of:
and

Least Common Multiple of 1465 and 1473

LCM of 1465 and 1473 is 2157945

Least common multiple can be found by multiplying the highest exponent prime factors of 1465 and 1473. First we will calculate the prime factors of 1465 and 1473.

Prime Factorization of 1465


5 1465
293 293
1

Prime factors of 1465 are 5,293. Prime factorization of 1465 in exponential form is:

1465 = 51×2931

Prime Factorization of 1473


3 1473
491 491
1

Prime factors of 1473 are 3,491. Prime factorization of 1473 in exponential form is:

1473 = 31×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 1465 and 1473.

LCM(1465,1473) = 31×51×2931×4911
LCM(1465,1473) = 2157945

Factors of 1465

List of positive integer factors of 1465 that divides 1465 without a remainder.

1, 5, 293, 1465

Factors of 1473

List of positive integer factors of 1473 that divides 1473 without a remainder.

1, 3, 491, 1473

Least Common Multiple of 1465 and 1473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1465 and 1473, than apply into the LCM equation.

GCF(1465,1473) = 1
LCM(1465,1473) = ( 1465 × 1473) / 1
LCM(1465,1473) = 2157945 / 1
LCM(1465,1473) = 2157945

Properties of LCM 1465 and 1473

(i) The LCM of 1473 and 1465 is associative

LCM of 1465 and 1473 = LCM of 1473 and 1465

Related Least Common Multiples of 1465

Related Least Common Multiples of 1473

Frequently Asked Questions on LCM of 1465 and 1473

1. What is the LCM of 1465 and 1473?

Answer: LCM of 1465 and 1473 is 2157945.

2. What are the Factors of 1465?

Answer: Factors of 1465 are 1, 5, 293, 1465. There are 4 integers that are factors of 1465. The greatest factor of 1465 is 1465.

3. What are the Factors of 1473?

Answer: Factors of 1473 are 1, 3, 491, 1473. There are 4 integers that are factors of 1473. The greatest factor of 1473 is 1473.

4. How to Find the LCM of 1465 and 1473?

Answer:

Least Common Multiple of 1465 and 1473 = 2157945

Step 1: Find the prime factorization of 1465

1465 = 5 x 293

Step 2: Find the prime factorization of 1473

1473 = 3 x 491

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

LCM = 2157945 = 3 x 5 x 293 x 491

Step 4: Therefore, the least common multiple of 1465 and 1473 is 2157945.