Least Common Multiple of 7234 and 7239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7234 and 7239 the smallest integer that is 52366926 that is divisible by both numbers.

Least Common Multiple (LCM) of 7234 and 7239 is 52366926.

LCM(7234,7239) = 52366926

LCM of 7234 and 7239

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

LCM of:
and

Least Common Multiple of 7234 and 7239

LCM of 7234 and 7239 is 52366926

Least common multiple can be found by multiplying the highest exponent prime factors of 7234 and 7239. First we will calculate the prime factors of 7234 and 7239.

Prime Factorization of 7234


2 7234
3617 3617
1

Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:

7234 = 21×36171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7234 and 7239.

LCM(7234,7239) = 21×31×191×1271×36171
LCM(7234,7239) = 52366926

Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1, 2, 3617, 7234

Factors of 7239

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

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

Least Common Multiple of 7234 and 7239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7234 and 7239, than apply into the LCM equation.

GCF(7234,7239) = 1
LCM(7234,7239) = ( 7234 × 7239) / 1
LCM(7234,7239) = 52366926 / 1
LCM(7234,7239) = 52366926

Properties of LCM 7234 and 7239

(i) The LCM of 7239 and 7234 is associative

LCM of 7234 and 7239 = LCM of 7239 and 7234

Related Least Common Multiples of 7234

Related Least Common Multiples of 7239

Frequently Asked Questions on LCM of 7234 and 7239

1. What is the LCM of 7234 and 7239?

Answer: LCM of 7234 and 7239 is 52366926.

2. What are the Factors of 7234?

Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.

3. 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.

4. How to Find the LCM of 7234 and 7239?

Answer:

Least Common Multiple of 7234 and 7239 = 52366926

Step 1: Find the prime factorization of 7234

7234 = 2 x 3617

Step 2: Find the prime factorization of 7239

7239 = 3 x 19 x 127

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

LCM = 52366926 = 2 x 3 x 19 x 127 x 3617

Step 4: Therefore, the least common multiple of 7234 and 7239 is 52366926.