Least Common Multiple of 7387 and 7392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7387 and 7392 the smallest integer that is 54604704 that is divisible by both numbers.

Least Common Multiple (LCM) of 7387 and 7392 is 54604704.

LCM(7387,7392) = 54604704

LCM of 7387 and 7392

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

LCM of:
and

Least Common Multiple of 7387 and 7392

LCM of 7387 and 7392 is 54604704

Least common multiple can be found by multiplying the highest exponent prime factors of 7387 and 7392. First we will calculate the prime factors of 7387 and 7392.

Prime Factorization of 7387


83 7387
89 89
1

Prime factors of 7387 are 83,89. Prime factorization of 7387 in exponential form is:

7387 = 831×891

Prime Factorization of 7392


2 7392
2 3696
2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 7392 are 2, 3, 7,11. Prime factorization of 7392 in exponential form is:

7392 = 25×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7387 and 7392.

LCM(7387,7392) = 25×31×71×111×831×891
LCM(7387,7392) = 54604704

Factors of 7387

List of positive integer factors of 7387 that divides 7387 without a remainder.

1, 83, 89, 7387

Factors of 7392

List of positive integer factors of 7392 that divides 7392 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392

Least Common Multiple of 7387 and 7392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7387 and 7392, than apply into the LCM equation.

GCF(7387,7392) = 1
LCM(7387,7392) = ( 7387 × 7392) / 1
LCM(7387,7392) = 54604704 / 1
LCM(7387,7392) = 54604704

Properties of LCM 7387 and 7392

(i) The LCM of 7392 and 7387 is associative

LCM of 7387 and 7392 = LCM of 7392 and 7387

Related Least Common Multiples of 7387

Related Least Common Multiples of 7392

Frequently Asked Questions on LCM of 7387 and 7392

1. What is the LCM of 7387 and 7392?

Answer: LCM of 7387 and 7392 is 54604704.

2. What are the Factors of 7387?

Answer: Factors of 7387 are 1, 83, 89, 7387. There are 4 integers that are factors of 7387. The greatest factor of 7387 is 7387.

3. What are the Factors of 7392?

Answer: Factors of 7392 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392. There are 48 integers that are factors of 7392. The greatest factor of 7392 is 7392.

4. How to Find the LCM of 7387 and 7392?

Answer:

Least Common Multiple of 7387 and 7392 = 54604704

Step 1: Find the prime factorization of 7387

7387 = 83 x 89

Step 2: Find the prime factorization of 7392

7392 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11

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

LCM = 54604704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 83 x 89

Step 4: Therefore, the least common multiple of 7387 and 7392 is 54604704.