Least Common Multiple of 938 and 946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 938 and 946 the smallest integer that is 443674 that is divisible by both numbers.

Least Common Multiple (LCM) of 938 and 946 is 443674.

LCM(938,946) = 443674

LCM of 938 and 946

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

LCM of:
and

Least Common Multiple of 938 and 946

LCM of 938 and 946 is 443674

Least common multiple can be found by multiplying the highest exponent prime factors of 938 and 946. First we will calculate the prime factors of 938 and 946.

Prime Factorization of 938


2 938
7 469
67 67
1

Prime factors of 938 are 2, 7,67. Prime factorization of 938 in exponential form is:

938 = 21×71×671

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 938 and 946.

LCM(938,946) = 21×71×111×431×671
LCM(938,946) = 443674

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Least Common Multiple of 938 and 946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 938 and 946, than apply into the LCM equation.

GCF(938,946) = 2
LCM(938,946) = ( 938 × 946) / 2
LCM(938,946) = 887348 / 2
LCM(938,946) = 443674

Properties of LCM 938 and 946

(i) The LCM of 946 and 938 is associative

LCM of 938 and 946 = LCM of 946 and 938

Related Least Common Multiples of 938

Related Least Common Multiples of 946

Frequently Asked Questions on LCM of 938 and 946

1. What is the LCM of 938 and 946?

Answer: LCM of 938 and 946 is 443674.

2. What are the Factors of 938?

Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.

3. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

4. How to Find the LCM of 938 and 946?

Answer:

Least Common Multiple of 938 and 946 = 443674

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 946

946 = 2 x 11 x 43

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

LCM = 443674 = 2 x 7 x 11 x 43 x 67

Step 4: Therefore, the least common multiple of 938 and 946 is 443674.