Least Common Multiple of 7478 and 7479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7478 and 7479 the smallest integer that is 55927962 that is divisible by both numbers.

Least Common Multiple (LCM) of 7478 and 7479 is 55927962.

LCM(7478,7479) = 55927962

LCM of 7478 and 7479

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

LCM of:
and

Least Common Multiple of 7478 and 7479

LCM of 7478 and 7479 is 55927962

Least common multiple can be found by multiplying the highest exponent prime factors of 7478 and 7479. First we will calculate the prime factors of 7478 and 7479.

Prime Factorization of 7478


2 7478
3739 3739
1

Prime factors of 7478 are 2,3739. Prime factorization of 7478 in exponential form is:

7478 = 21×37391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7478 and 7479.

LCM(7478,7479) = 21×33×2771×37391
LCM(7478,7479) = 55927962

Factors of 7478

List of positive integer factors of 7478 that divides 7478 without a remainder.

1, 2, 3739, 7478

Factors of 7479

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

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

Least Common Multiple of 7478 and 7479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7478 and 7479, than apply into the LCM equation.

GCF(7478,7479) = 1
LCM(7478,7479) = ( 7478 × 7479) / 1
LCM(7478,7479) = 55927962 / 1
LCM(7478,7479) = 55927962

Properties of LCM 7478 and 7479

(i) The LCM of 7479 and 7478 is associative

LCM of 7478 and 7479 = LCM of 7479 and 7478

Related Least Common Multiples of 7478

Related Least Common Multiples of 7479

Frequently Asked Questions on LCM of 7478 and 7479

1. What is the LCM of 7478 and 7479?

Answer: LCM of 7478 and 7479 is 55927962.

2. What are the Factors of 7478?

Answer: Factors of 7478 are 1, 2, 3739, 7478. There are 4 integers that are factors of 7478. The greatest factor of 7478 is 7478.

3. 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.

4. How to Find the LCM of 7478 and 7479?

Answer:

Least Common Multiple of 7478 and 7479 = 55927962

Step 1: Find the prime factorization of 7478

7478 = 2 x 3739

Step 2: Find the prime factorization of 7479

7479 = 3 x 3 x 3 x 277

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

LCM = 55927962 = 2 x 3 x 3 x 3 x 277 x 3739

Step 4: Therefore, the least common multiple of 7478 and 7479 is 55927962.