Least Common Multiple of 7946 and 7953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7946 and 7953 the smallest integer that is 63194538 that is divisible by both numbers.

Least Common Multiple (LCM) of 7946 and 7953 is 63194538.

LCM(7946,7953) = 63194538

LCM of 7946 and 7953

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

LCM of:
and

Least Common Multiple of 7946 and 7953

LCM of 7946 and 7953 is 63194538

Least common multiple can be found by multiplying the highest exponent prime factors of 7946 and 7953. First we will calculate the prime factors of 7946 and 7953.

Prime Factorization of 7946


2 7946
29 3973
137 137
1

Prime factors of 7946 are 2, 29,137. Prime factorization of 7946 in exponential form is:

7946 = 21×291×1371

Prime Factorization of 7953


3 7953
11 2651
241 241
1

Prime factors of 7953 are 3, 11,241. Prime factorization of 7953 in exponential form is:

7953 = 31×111×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 7946 and 7953.

LCM(7946,7953) = 21×31×111×291×1371×2411
LCM(7946,7953) = 63194538

Factors of 7946

List of positive integer factors of 7946 that divides 7946 without a remainder.

1, 2, 29, 58, 137, 274, 3973, 7946

Factors of 7953

List of positive integer factors of 7953 that divides 7953 without a remainder.

1, 3, 11, 33, 241, 723, 2651, 7953

Least Common Multiple of 7946 and 7953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7946 and 7953, than apply into the LCM equation.

GCF(7946,7953) = 1
LCM(7946,7953) = ( 7946 × 7953) / 1
LCM(7946,7953) = 63194538 / 1
LCM(7946,7953) = 63194538

Properties of LCM 7946 and 7953

(i) The LCM of 7953 and 7946 is associative

LCM of 7946 and 7953 = LCM of 7953 and 7946

Related Least Common Multiples of 7946

Related Least Common Multiples of 7953

Frequently Asked Questions on LCM of 7946 and 7953

1. What is the LCM of 7946 and 7953?

Answer: LCM of 7946 and 7953 is 63194538.

2. What are the Factors of 7946?

Answer: Factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946. There are 8 integers that are factors of 7946. The greatest factor of 7946 is 7946.

3. What are the Factors of 7953?

Answer: Factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953. There are 8 integers that are factors of 7953. The greatest factor of 7953 is 7953.

4. How to Find the LCM of 7946 and 7953?

Answer:

Least Common Multiple of 7946 and 7953 = 63194538

Step 1: Find the prime factorization of 7946

7946 = 2 x 29 x 137

Step 2: Find the prime factorization of 7953

7953 = 3 x 11 x 241

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

LCM = 63194538 = 2 x 3 x 11 x 29 x 137 x 241

Step 4: Therefore, the least common multiple of 7946 and 7953 is 63194538.