Least Common Multiple of 7426 and 7433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7426 and 7433 the smallest integer that is 55197458 that is divisible by both numbers.

Least Common Multiple (LCM) of 7426 and 7433 is 55197458.

LCM(7426,7433) = 55197458

LCM of 7426 and 7433

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

LCM of:
and

Least Common Multiple of 7426 and 7433

LCM of 7426 and 7433 is 55197458

Least common multiple can be found by multiplying the highest exponent prime factors of 7426 and 7433. First we will calculate the prime factors of 7426 and 7433.

Prime Factorization of 7426


2 7426
47 3713
79 79
1

Prime factors of 7426 are 2, 47,79. Prime factorization of 7426 in exponential form is:

7426 = 21×471×791

Prime Factorization of 7433


7433 7433
1

Prime factors of 7433 are 7433. Prime factorization of 7433 in exponential form is:

7433 = 74331

Now multiplying the highest exponent prime factors to calculate the LCM of 7426 and 7433.

LCM(7426,7433) = 21×471×791×74331
LCM(7426,7433) = 55197458

Factors of 7426

List of positive integer factors of 7426 that divides 7426 without a remainder.

1, 2, 47, 79, 94, 158, 3713, 7426

Factors of 7433

List of positive integer factors of 7433 that divides 7433 without a remainder.

1, 7433

Least Common Multiple of 7426 and 7433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7426 and 7433, than apply into the LCM equation.

GCF(7426,7433) = 1
LCM(7426,7433) = ( 7426 × 7433) / 1
LCM(7426,7433) = 55197458 / 1
LCM(7426,7433) = 55197458

Properties of LCM 7426 and 7433

(i) The LCM of 7433 and 7426 is associative

LCM of 7426 and 7433 = LCM of 7433 and 7426

Related Least Common Multiples of 7426

Related Least Common Multiples of 7433

Frequently Asked Questions on LCM of 7426 and 7433

1. What is the LCM of 7426 and 7433?

Answer: LCM of 7426 and 7433 is 55197458.

2. What are the Factors of 7426?

Answer: Factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426. There are 8 integers that are factors of 7426. The greatest factor of 7426 is 7426.

3. What are the Factors of 7433?

Answer: Factors of 7433 are 1, 7433. There are 2 integers that are factors of 7433. The greatest factor of 7433 is 7433.

4. How to Find the LCM of 7426 and 7433?

Answer:

Least Common Multiple of 7426 and 7433 = 55197458

Step 1: Find the prime factorization of 7426

7426 = 2 x 47 x 79

Step 2: Find the prime factorization of 7433

7433 = 7433

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

LCM = 55197458 = 2 x 47 x 79 x 7433

Step 4: Therefore, the least common multiple of 7426 and 7433 is 55197458.