Least Common Multiple of 7445 and 7451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7445 and 7451 the smallest integer that is 55472695 that is divisible by both numbers.

Least Common Multiple (LCM) of 7445 and 7451 is 55472695.

LCM(7445,7451) = 55472695

LCM of 7445 and 7451

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

LCM of:
and

Least Common Multiple of 7445 and 7451

LCM of 7445 and 7451 is 55472695

Least common multiple can be found by multiplying the highest exponent prime factors of 7445 and 7451. First we will calculate the prime factors of 7445 and 7451.

Prime Factorization of 7445


5 7445
1489 1489
1

Prime factors of 7445 are 5,1489. Prime factorization of 7445 in exponential form is:

7445 = 51×14891

Prime Factorization of 7451


7451 7451
1

Prime factors of 7451 are 7451. Prime factorization of 7451 in exponential form is:

7451 = 74511

Now multiplying the highest exponent prime factors to calculate the LCM of 7445 and 7451.

LCM(7445,7451) = 51×14891×74511
LCM(7445,7451) = 55472695

Factors of 7445

List of positive integer factors of 7445 that divides 7445 without a remainder.

1, 5, 1489, 7445

Factors of 7451

List of positive integer factors of 7451 that divides 7451 without a remainder.

1, 7451

Least Common Multiple of 7445 and 7451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7445 and 7451, than apply into the LCM equation.

GCF(7445,7451) = 1
LCM(7445,7451) = ( 7445 × 7451) / 1
LCM(7445,7451) = 55472695 / 1
LCM(7445,7451) = 55472695

Properties of LCM 7445 and 7451

(i) The LCM of 7451 and 7445 is associative

LCM of 7445 and 7451 = LCM of 7451 and 7445

Related Least Common Multiples of 7445

Related Least Common Multiples of 7451

Frequently Asked Questions on LCM of 7445 and 7451

1. What is the LCM of 7445 and 7451?

Answer: LCM of 7445 and 7451 is 55472695.

2. What are the Factors of 7445?

Answer: Factors of 7445 are 1, 5, 1489, 7445. There are 4 integers that are factors of 7445. The greatest factor of 7445 is 7445.

3. What are the Factors of 7451?

Answer: Factors of 7451 are 1, 7451. There are 2 integers that are factors of 7451. The greatest factor of 7451 is 7451.

4. How to Find the LCM of 7445 and 7451?

Answer:

Least Common Multiple of 7445 and 7451 = 55472695

Step 1: Find the prime factorization of 7445

7445 = 5 x 1489

Step 2: Find the prime factorization of 7451

7451 = 7451

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

LCM = 55472695 = 5 x 1489 x 7451

Step 4: Therefore, the least common multiple of 7445 and 7451 is 55472695.