Least Common Multiple of 7380 and 7387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7380 and 7387 the smallest integer that is 54516060 that is divisible by both numbers.

Least Common Multiple (LCM) of 7380 and 7387 is 54516060.

LCM(7380,7387) = 54516060

LCM of 7380 and 7387

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

LCM of:
and

Least Common Multiple of 7380 and 7387

LCM of 7380 and 7387 is 54516060

Least common multiple can be found by multiplying the highest exponent prime factors of 7380 and 7387. First we will calculate the prime factors of 7380 and 7387.

Prime Factorization of 7380


2 7380
2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 7380 are 2, 3, 5,41. Prime factorization of 7380 in exponential form is:

7380 = 22×32×51×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7380 and 7387.

LCM(7380,7387) = 22×32×51×411×831×891
LCM(7380,7387) = 54516060

Factors of 7380

List of positive integer factors of 7380 that divides 7380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380

Factors of 7387

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

1, 83, 89, 7387

Least Common Multiple of 7380 and 7387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7380 and 7387, than apply into the LCM equation.

GCF(7380,7387) = 1
LCM(7380,7387) = ( 7380 × 7387) / 1
LCM(7380,7387) = 54516060 / 1
LCM(7380,7387) = 54516060

Properties of LCM 7380 and 7387

(i) The LCM of 7387 and 7380 is associative

LCM of 7380 and 7387 = LCM of 7387 and 7380

Related Least Common Multiples of 7380

Related Least Common Multiples of 7387

Frequently Asked Questions on LCM of 7380 and 7387

1. What is the LCM of 7380 and 7387?

Answer: LCM of 7380 and 7387 is 54516060.

2. What are the Factors of 7380?

Answer: Factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380. There are 36 integers that are factors of 7380. The greatest factor of 7380 is 7380.

3. 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.

4. How to Find the LCM of 7380 and 7387?

Answer:

Least Common Multiple of 7380 and 7387 = 54516060

Step 1: Find the prime factorization of 7380

7380 = 2 x 2 x 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 7387

7387 = 83 x 89

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

LCM = 54516060 = 2 x 2 x 3 x 3 x 5 x 41 x 83 x 89

Step 4: Therefore, the least common multiple of 7380 and 7387 is 54516060.