Least Common Multiple of 7450 and 7455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7450 and 7455 the smallest integer that is 11107950 that is divisible by both numbers.

Least Common Multiple (LCM) of 7450 and 7455 is 11107950.

LCM(7450,7455) = 11107950

LCM of 7450 and 7455

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

LCM of:
and

Least Common Multiple of 7450 and 7455

LCM of 7450 and 7455 is 11107950

Least common multiple can be found by multiplying the highest exponent prime factors of 7450 and 7455. First we will calculate the prime factors of 7450 and 7455.

Prime Factorization of 7450


2 7450
5 3725
5 745
149 149
1

Prime factors of 7450 are 2, 5,149. Prime factorization of 7450 in exponential form is:

7450 = 21×52×1491

Prime Factorization of 7455


3 7455
5 2485
7 497
71 71
1

Prime factors of 7455 are 3, 5, 7,71. Prime factorization of 7455 in exponential form is:

7455 = 31×51×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7450 and 7455.

LCM(7450,7455) = 21×31×52×71×711×1491
LCM(7450,7455) = 11107950

Factors of 7450

List of positive integer factors of 7450 that divides 7450 without a remainder.

1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450

Factors of 7455

List of positive integer factors of 7455 that divides 7455 without a remainder.

1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455

Least Common Multiple of 7450 and 7455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7450 and 7455, than apply into the LCM equation.

GCF(7450,7455) = 5
LCM(7450,7455) = ( 7450 × 7455) / 5
LCM(7450,7455) = 55539750 / 5
LCM(7450,7455) = 11107950

Properties of LCM 7450 and 7455

(i) The LCM of 7455 and 7450 is associative

LCM of 7450 and 7455 = LCM of 7455 and 7450

Related Least Common Multiples of 7450

Related Least Common Multiples of 7455

Frequently Asked Questions on LCM of 7450 and 7455

1. What is the LCM of 7450 and 7455?

Answer: LCM of 7450 and 7455 is 11107950.

2. What are the Factors of 7450?

Answer: Factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450. There are 12 integers that are factors of 7450. The greatest factor of 7450 is 7450.

3. What are the Factors of 7455?

Answer: Factors of 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455. There are 16 integers that are factors of 7455. The greatest factor of 7455 is 7455.

4. How to Find the LCM of 7450 and 7455?

Answer:

Least Common Multiple of 7450 and 7455 = 11107950

Step 1: Find the prime factorization of 7450

7450 = 2 x 5 x 5 x 149

Step 2: Find the prime factorization of 7455

7455 = 3 x 5 x 7 x 71

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

LCM = 11107950 = 2 x 3 x 5 x 5 x 7 x 71 x 149

Step 4: Therefore, the least common multiple of 7450 and 7455 is 11107950.