Least Common Multiple of 7239 and 7247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7239 and 7247 the smallest integer that is 52461033 that is divisible by both numbers.

Least Common Multiple (LCM) of 7239 and 7247 is 52461033.

LCM(7239,7247) = 52461033

LCM of 7239 and 7247

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

LCM of:
and

Least Common Multiple of 7239 and 7247

LCM of 7239 and 7247 is 52461033

Least common multiple can be found by multiplying the highest exponent prime factors of 7239 and 7247. First we will calculate the prime factors of 7239 and 7247.

Prime Factorization of 7239


3 7239
19 2413
127 127
1

Prime factors of 7239 are 3, 19,127. Prime factorization of 7239 in exponential form is:

7239 = 31×191×1271

Prime Factorization of 7247


7247 7247
1

Prime factors of 7247 are 7247. Prime factorization of 7247 in exponential form is:

7247 = 72471

Now multiplying the highest exponent prime factors to calculate the LCM of 7239 and 7247.

LCM(7239,7247) = 31×191×1271×72471
LCM(7239,7247) = 52461033

Factors of 7239

List of positive integer factors of 7239 that divides 7239 without a remainder.

1, 3, 19, 57, 127, 381, 2413, 7239

Factors of 7247

List of positive integer factors of 7247 that divides 7247 without a remainder.

1, 7247

Least Common Multiple of 7239 and 7247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7239 and 7247, than apply into the LCM equation.

GCF(7239,7247) = 1
LCM(7239,7247) = ( 7239 × 7247) / 1
LCM(7239,7247) = 52461033 / 1
LCM(7239,7247) = 52461033

Properties of LCM 7239 and 7247

(i) The LCM of 7247 and 7239 is associative

LCM of 7239 and 7247 = LCM of 7247 and 7239

Related Least Common Multiples of 7239

Related Least Common Multiples of 7247

Frequently Asked Questions on LCM of 7239 and 7247

1. What is the LCM of 7239 and 7247?

Answer: LCM of 7239 and 7247 is 52461033.

2. What are the Factors of 7239?

Answer: Factors of 7239 are 1, 3, 19, 57, 127, 381, 2413, 7239. There are 8 integers that are factors of 7239. The greatest factor of 7239 is 7239.

3. What are the Factors of 7247?

Answer: Factors of 7247 are 1, 7247. There are 2 integers that are factors of 7247. The greatest factor of 7247 is 7247.

4. How to Find the LCM of 7239 and 7247?

Answer:

Least Common Multiple of 7239 and 7247 = 52461033

Step 1: Find the prime factorization of 7239

7239 = 3 x 19 x 127

Step 2: Find the prime factorization of 7247

7247 = 7247

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

LCM = 52461033 = 3 x 19 x 127 x 7247

Step 4: Therefore, the least common multiple of 7239 and 7247 is 52461033.