Least Common Multiple of 7411 and 7416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7411 and 7416 the smallest integer that is 54959976 that is divisible by both numbers.

Least Common Multiple (LCM) of 7411 and 7416 is 54959976.

LCM(7411,7416) = 54959976

LCM of 7411 and 7416

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

LCM of:
and

Least Common Multiple of 7411 and 7416

LCM of 7411 and 7416 is 54959976

Least common multiple can be found by multiplying the highest exponent prime factors of 7411 and 7416. First we will calculate the prime factors of 7411 and 7416.

Prime Factorization of 7411


7411 7411
1

Prime factors of 7411 are 7411. Prime factorization of 7411 in exponential form is:

7411 = 74111

Prime Factorization of 7416


2 7416
2 3708
2 1854
3 927
3 309
103 103
1

Prime factors of 7416 are 2, 3,103. Prime factorization of 7416 in exponential form is:

7416 = 23×32×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7411 and 7416.

LCM(7411,7416) = 23×32×1031×74111
LCM(7411,7416) = 54959976

Factors of 7411

List of positive integer factors of 7411 that divides 7411 without a remainder.

1, 7411

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416

Least Common Multiple of 7411 and 7416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7411 and 7416, than apply into the LCM equation.

GCF(7411,7416) = 1
LCM(7411,7416) = ( 7411 × 7416) / 1
LCM(7411,7416) = 54959976 / 1
LCM(7411,7416) = 54959976

Properties of LCM 7411 and 7416

(i) The LCM of 7416 and 7411 is associative

LCM of 7411 and 7416 = LCM of 7416 and 7411

Related Least Common Multiples of 7411

Related Least Common Multiples of 7416

Frequently Asked Questions on LCM of 7411 and 7416

1. What is the LCM of 7411 and 7416?

Answer: LCM of 7411 and 7416 is 54959976.

2. What are the Factors of 7411?

Answer: Factors of 7411 are 1, 7411. There are 2 integers that are factors of 7411. The greatest factor of 7411 is 7411.

3. What are the Factors of 7416?

Answer: Factors of 7416 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 103, 206, 309, 412, 618, 824, 927, 1236, 1854, 2472, 3708, 7416. There are 24 integers that are factors of 7416. The greatest factor of 7416 is 7416.

4. How to Find the LCM of 7411 and 7416?

Answer:

Least Common Multiple of 7411 and 7416 = 54959976

Step 1: Find the prime factorization of 7411

7411 = 7411

Step 2: Find the prime factorization of 7416

7416 = 2 x 2 x 2 x 3 x 3 x 103

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

LCM = 54959976 = 2 x 2 x 2 x 3 x 3 x 103 x 7411

Step 4: Therefore, the least common multiple of 7411 and 7416 is 54959976.