Least Common Multiple of 8938 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 8938 and 8946 the smallest integer that is 39979674 that is divisible by both numbers.

Least Common Multiple (LCM) of 8938 and 8946 is 39979674.

LCM(8938,8946) = 39979674

LCM of 8938 and 8946

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

LCM of:
and

Least Common Multiple of 8938 and 8946

LCM of 8938 and 8946 is 39979674

Least common multiple can be found by multiplying the highest exponent prime factors of 8938 and 8946. First we will calculate the prime factors of 8938 and 8946.

Prime Factorization of 8938


2 8938
41 4469
109 109
1

Prime factors of 8938 are 2, 41,109. Prime factorization of 8938 in exponential form is:

8938 = 21×411×1091

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 8938 and 8946.

LCM(8938,8946) = 21×32×71×411×711×1091
LCM(8938,8946) = 39979674

Factors of 8938

List of positive integer factors of 8938 that divides 8938 without a remainder.

1, 2, 41, 82, 109, 218, 4469, 8938

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 8938 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 8938 and 8946, than apply into the LCM equation.

GCF(8938,8946) = 2
LCM(8938,8946) = ( 8938 × 8946) / 2
LCM(8938,8946) = 79959348 / 2
LCM(8938,8946) = 39979674

Properties of LCM 8938 and 8946

(i) The LCM of 8946 and 8938 is associative

LCM of 8938 and 8946 = LCM of 8946 and 8938

Related Least Common Multiples of 8938

Related Least Common Multiples of 8946

Frequently Asked Questions on LCM of 8938 and 8946

1. What is the LCM of 8938 and 8946?

Answer: LCM of 8938 and 8946 is 39979674.

2. What are the Factors of 8938?

Answer: Factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938. There are 8 integers that are factors of 8938. The greatest factor of 8938 is 8938.

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 8938 and 8946?

Answer:

Least Common Multiple of 8938 and 8946 = 39979674

Step 1: Find the prime factorization of 8938

8938 = 2 x 41 x 109

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 = 39979674 = 2 x 3 x 3 x 7 x 41 x 71 x 109

Step 4: Therefore, the least common multiple of 8938 and 8946 is 39979674.