Least Common Multiple of 8942 and 8946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8942 and 8946 the smallest integer that is 39997566 that is divisible by both numbers.

Least Common Multiple (LCM) of 8942 and 8946 is 39997566.

LCM(8942,8946) = 39997566

LCM of 8942 and 8946

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

LCM of:
and

Least Common Multiple of 8942 and 8946

LCM of 8942 and 8946 is 39997566

Least common multiple can be found by multiplying the highest exponent prime factors of 8942 and 8946. First we will calculate the prime factors of 8942 and 8946.

Prime Factorization of 8942


2 8942
17 4471
263 263
1

Prime factors of 8942 are 2, 17,263. Prime factorization of 8942 in exponential form is:

8942 = 21×171×2631

Prime Factorization of 8946


2 8946
3 4473
3 1491
7 497
71 71
1

Prime factors of 8946 are 2, 3, 7,71. Prime factorization of 8946 in exponential form is:

8946 = 21×32×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8942 and 8946.

LCM(8942,8946) = 21×32×71×171×711×2631
LCM(8942,8946) = 39997566

Factors of 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1, 2, 17, 34, 263, 526, 4471, 8942

Factors of 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946

Least Common Multiple of 8942 and 8946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8942 and 8946, than apply into the LCM equation.

GCF(8942,8946) = 2
LCM(8942,8946) = ( 8942 × 8946) / 2
LCM(8942,8946) = 79995132 / 2
LCM(8942,8946) = 39997566

Properties of LCM 8942 and 8946

(i) The LCM of 8946 and 8942 is associative

LCM of 8942 and 8946 = LCM of 8946 and 8942

Related Least Common Multiples of 8942

Related Least Common Multiples of 8946

Frequently Asked Questions on LCM of 8942 and 8946

1. What is the LCM of 8942 and 8946?

Answer: LCM of 8942 and 8946 is 39997566.

2. What are the Factors of 8942?

Answer: Factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942. There are 8 integers that are factors of 8942. The greatest factor of 8942 is 8942.

3. What are the Factors of 8946?

Answer: Factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946. There are 24 integers that are factors of 8946. The greatest factor of 8946 is 8946.

4. How to Find the LCM of 8942 and 8946?

Answer:

Least Common Multiple of 8942 and 8946 = 39997566

Step 1: Find the prime factorization of 8942

8942 = 2 x 17 x 263

Step 2: Find the prime factorization of 8946

8946 = 2 x 3 x 3 x 7 x 71

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

LCM = 39997566 = 2 x 3 x 3 x 7 x 17 x 71 x 263

Step 4: Therefore, the least common multiple of 8942 and 8946 is 39997566.