Least Common Multiple of 7479 and 7487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7479 and 7487 the smallest integer that is 55995273 that is divisible by both numbers.

Least Common Multiple (LCM) of 7479 and 7487 is 55995273.

LCM(7479,7487) = 55995273

LCM of 7479 and 7487

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

LCM of:
and

Least Common Multiple of 7479 and 7487

LCM of 7479 and 7487 is 55995273

Least common multiple can be found by multiplying the highest exponent prime factors of 7479 and 7487. First we will calculate the prime factors of 7479 and 7487.

Prime Factorization of 7479


3 7479
3 2493
3 831
277 277
1

Prime factors of 7479 are 3,277. Prime factorization of 7479 in exponential form is:

7479 = 33×2771

Prime Factorization of 7487


7487 7487
1

Prime factors of 7487 are 7487. Prime factorization of 7487 in exponential form is:

7487 = 74871

Now multiplying the highest exponent prime factors to calculate the LCM of 7479 and 7487.

LCM(7479,7487) = 33×2771×74871
LCM(7479,7487) = 55995273

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1, 3, 9, 27, 277, 831, 2493, 7479

Factors of 7487

List of positive integer factors of 7487 that divides 7487 without a remainder.

1, 7487

Least Common Multiple of 7479 and 7487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7479 and 7487, than apply into the LCM equation.

GCF(7479,7487) = 1
LCM(7479,7487) = ( 7479 × 7487) / 1
LCM(7479,7487) = 55995273 / 1
LCM(7479,7487) = 55995273

Properties of LCM 7479 and 7487

(i) The LCM of 7487 and 7479 is associative

LCM of 7479 and 7487 = LCM of 7487 and 7479

Related Least Common Multiples of 7479

Related Least Common Multiples of 7487

Frequently Asked Questions on LCM of 7479 and 7487

1. What is the LCM of 7479 and 7487?

Answer: LCM of 7479 and 7487 is 55995273.

2. What are the Factors of 7479?

Answer: Factors of 7479 are 1, 3, 9, 27, 277, 831, 2493, 7479. There are 8 integers that are factors of 7479. The greatest factor of 7479 is 7479.

3. What are the Factors of 7487?

Answer: Factors of 7487 are 1, 7487. There are 2 integers that are factors of 7487. The greatest factor of 7487 is 7487.

4. How to Find the LCM of 7479 and 7487?

Answer:

Least Common Multiple of 7479 and 7487 = 55995273

Step 1: Find the prime factorization of 7479

7479 = 3 x 3 x 3 x 277

Step 2: Find the prime factorization of 7487

7487 = 7487

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

LCM = 55995273 = 3 x 3 x 3 x 277 x 7487

Step 4: Therefore, the least common multiple of 7479 and 7487 is 55995273.