Least Common Multiple of 7938 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 7938 and 7946 the smallest integer that is 31537674 that is divisible by both numbers.

Least Common Multiple (LCM) of 7938 and 7946 is 31537674.

LCM(7938,7946) = 31537674

LCM of 7938 and 7946

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

LCM of:
and

Least Common Multiple of 7938 and 7946

LCM of 7938 and 7946 is 31537674

Least common multiple can be found by multiplying the highest exponent prime factors of 7938 and 7946. First we will calculate the prime factors of 7938 and 7946.

Prime Factorization of 7938


2 7938
3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 7938 are 2, 3,7. Prime factorization of 7938 in exponential form is:

7938 = 21×34×72

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 7938 and 7946.

LCM(7938,7946) = 21×34×72×291×1371
LCM(7938,7946) = 31537674

Factors of 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938

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 7938 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 7938 and 7946, than apply into the LCM equation.

GCF(7938,7946) = 2
LCM(7938,7946) = ( 7938 × 7946) / 2
LCM(7938,7946) = 63075348 / 2
LCM(7938,7946) = 31537674

Properties of LCM 7938 and 7946

(i) The LCM of 7946 and 7938 is associative

LCM of 7938 and 7946 = LCM of 7946 and 7938

Related Least Common Multiples of 7938

Related Least Common Multiples of 7946

Frequently Asked Questions on LCM of 7938 and 7946

1. What is the LCM of 7938 and 7946?

Answer: LCM of 7938 and 7946 is 31537674.

2. What are the Factors of 7938?

Answer: Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938. There are 30 integers that are factors of 7938. The greatest factor of 7938 is 7938.

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 7938 and 7946?

Answer:

Least Common Multiple of 7938 and 7946 = 31537674

Step 1: Find the prime factorization of 7938

7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7

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 = 31537674 = 2 x 3 x 3 x 3 x 3 x 7 x 7 x 29 x 137

Step 4: Therefore, the least common multiple of 7938 and 7946 is 31537674.