Least Common Multiple of 7471 and 7476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7471 and 7476 the smallest integer that is 55853196 that is divisible by both numbers.

Least Common Multiple (LCM) of 7471 and 7476 is 55853196.

LCM(7471,7476) = 55853196

LCM of 7471 and 7476

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

LCM of:
and

Least Common Multiple of 7471 and 7476

LCM of 7471 and 7476 is 55853196

Least common multiple can be found by multiplying the highest exponent prime factors of 7471 and 7476. First we will calculate the prime factors of 7471 and 7476.

Prime Factorization of 7471


31 7471
241 241
1

Prime factors of 7471 are 31,241. Prime factorization of 7471 in exponential form is:

7471 = 311×2411

Prime Factorization of 7476


2 7476
2 3738
3 1869
7 623
89 89
1

Prime factors of 7476 are 2, 3, 7,89. Prime factorization of 7476 in exponential form is:

7476 = 22×31×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7471 and 7476.

LCM(7471,7476) = 22×31×71×311×891×2411
LCM(7471,7476) = 55853196

Factors of 7471

List of positive integer factors of 7471 that divides 7471 without a remainder.

1, 31, 241, 7471

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476

Least Common Multiple of 7471 and 7476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7471 and 7476, than apply into the LCM equation.

GCF(7471,7476) = 1
LCM(7471,7476) = ( 7471 × 7476) / 1
LCM(7471,7476) = 55853196 / 1
LCM(7471,7476) = 55853196

Properties of LCM 7471 and 7476

(i) The LCM of 7476 and 7471 is associative

LCM of 7471 and 7476 = LCM of 7476 and 7471

Related Least Common Multiples of 7471

Related Least Common Multiples of 7476

Frequently Asked Questions on LCM of 7471 and 7476

1. What is the LCM of 7471 and 7476?

Answer: LCM of 7471 and 7476 is 55853196.

2. What are the Factors of 7471?

Answer: Factors of 7471 are 1, 31, 241, 7471. There are 4 integers that are factors of 7471. The greatest factor of 7471 is 7471.

3. What are the Factors of 7476?

Answer: Factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476. There are 24 integers that are factors of 7476. The greatest factor of 7476 is 7476.

4. How to Find the LCM of 7471 and 7476?

Answer:

Least Common Multiple of 7471 and 7476 = 55853196

Step 1: Find the prime factorization of 7471

7471 = 31 x 241

Step 2: Find the prime factorization of 7476

7476 = 2 x 2 x 3 x 7 x 89

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

LCM = 55853196 = 2 x 2 x 3 x 7 x 31 x 89 x 241

Step 4: Therefore, the least common multiple of 7471 and 7476 is 55853196.