Least Common Multiple of 7246 and 7252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7246 and 7252 the smallest integer that is 26273996 that is divisible by both numbers.

Least Common Multiple (LCM) of 7246 and 7252 is 26273996.

LCM(7246,7252) = 26273996

LCM of 7246 and 7252

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

LCM of:
and

Least Common Multiple of 7246 and 7252

LCM of 7246 and 7252 is 26273996

Least common multiple can be found by multiplying the highest exponent prime factors of 7246 and 7252. First we will calculate the prime factors of 7246 and 7252.

Prime Factorization of 7246


2 7246
3623 3623
1

Prime factors of 7246 are 2,3623. Prime factorization of 7246 in exponential form is:

7246 = 21×36231

Prime Factorization of 7252


2 7252
2 3626
7 1813
7 259
37 37
1

Prime factors of 7252 are 2, 7,37. Prime factorization of 7252 in exponential form is:

7252 = 22×72×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7246 and 7252.

LCM(7246,7252) = 22×72×371×36231
LCM(7246,7252) = 26273996

Factors of 7246

List of positive integer factors of 7246 that divides 7246 without a remainder.

1, 2, 3623, 7246

Factors of 7252

List of positive integer factors of 7252 that divides 7252 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252

Least Common Multiple of 7246 and 7252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7246 and 7252, than apply into the LCM equation.

GCF(7246,7252) = 2
LCM(7246,7252) = ( 7246 × 7252) / 2
LCM(7246,7252) = 52547992 / 2
LCM(7246,7252) = 26273996

Properties of LCM 7246 and 7252

(i) The LCM of 7252 and 7246 is associative

LCM of 7246 and 7252 = LCM of 7252 and 7246

Related Least Common Multiples of 7246

Related Least Common Multiples of 7252

Frequently Asked Questions on LCM of 7246 and 7252

1. What is the LCM of 7246 and 7252?

Answer: LCM of 7246 and 7252 is 26273996.

2. What are the Factors of 7246?

Answer: Factors of 7246 are 1, 2, 3623, 7246. There are 4 integers that are factors of 7246. The greatest factor of 7246 is 7246.

3. What are the Factors of 7252?

Answer: Factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252. There are 18 integers that are factors of 7252. The greatest factor of 7252 is 7252.

4. How to Find the LCM of 7246 and 7252?

Answer:

Least Common Multiple of 7246 and 7252 = 26273996

Step 1: Find the prime factorization of 7246

7246 = 2 x 3623

Step 2: Find the prime factorization of 7252

7252 = 2 x 2 x 7 x 7 x 37

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

LCM = 26273996 = 2 x 2 x 7 x 7 x 37 x 3623

Step 4: Therefore, the least common multiple of 7246 and 7252 is 26273996.