Least Common Multiple of 7940 and 7946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7940 and 7946 the smallest integer that is 31545620 that is divisible by both numbers.

Least Common Multiple (LCM) of 7940 and 7946 is 31545620.

LCM(7940,7946) = 31545620

LCM of 7940 and 7946

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

LCM of:
and

Least Common Multiple of 7940 and 7946

LCM of 7940 and 7946 is 31545620

Least common multiple can be found by multiplying the highest exponent prime factors of 7940 and 7946. First we will calculate the prime factors of 7940 and 7946.

Prime Factorization of 7940


2 7940
2 3970
5 1985
397 397
1

Prime factors of 7940 are 2, 5,397. Prime factorization of 7940 in exponential form is:

7940 = 22×51×3971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7940 and 7946.

LCM(7940,7946) = 22×51×291×1371×3971
LCM(7940,7946) = 31545620

Factors of 7940

List of positive integer factors of 7940 that divides 7940 without a remainder.

1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940

Factors of 7946

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

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

Least Common Multiple of 7940 and 7946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7940 and 7946, than apply into the LCM equation.

GCF(7940,7946) = 2
LCM(7940,7946) = ( 7940 × 7946) / 2
LCM(7940,7946) = 63091240 / 2
LCM(7940,7946) = 31545620

Properties of LCM 7940 and 7946

(i) The LCM of 7946 and 7940 is associative

LCM of 7940 and 7946 = LCM of 7946 and 7940

Related Least Common Multiples of 7940

Related Least Common Multiples of 7946

Frequently Asked Questions on LCM of 7940 and 7946

1. What is the LCM of 7940 and 7946?

Answer: LCM of 7940 and 7946 is 31545620.

2. What are the Factors of 7940?

Answer: Factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940. There are 12 integers that are factors of 7940. The greatest factor of 7940 is 7940.

3. 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.

4. How to Find the LCM of 7940 and 7946?

Answer:

Least Common Multiple of 7940 and 7946 = 31545620

Step 1: Find the prime factorization of 7940

7940 = 2 x 2 x 5 x 397

Step 2: Find the prime factorization of 7946

7946 = 2 x 29 x 137

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

LCM = 31545620 = 2 x 2 x 5 x 29 x 137 x 397

Step 4: Therefore, the least common multiple of 7940 and 7946 is 31545620.