Least Common Multiple of 938 and 942

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 942 the smallest integer that is 441798 that is divisible by both numbers.

Least Common Multiple (LCM) of 938 and 942 is 441798.

LCM(938,942) = 441798

LCM of 938 and 942

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

LCM of:
and

Least Common Multiple of 938 and 942

LCM of 938 and 942 is 441798

Least common multiple can be found by multiplying the highest exponent prime factors of 938 and 942. First we will calculate the prime factors of 938 and 942.

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 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 938 and 942.

LCM(938,942) = 21×31×71×671×1571
LCM(938,942) = 441798

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 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Least Common Multiple of 938 and 942 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 942, than apply into the LCM equation.

GCF(938,942) = 2
LCM(938,942) = ( 938 × 942) / 2
LCM(938,942) = 883596 / 2
LCM(938,942) = 441798

Properties of LCM 938 and 942

(i) The LCM of 942 and 938 is associative

LCM of 938 and 942 = LCM of 942 and 938

Related Least Common Multiples of 938

Related Least Common Multiples of 942

Frequently Asked Questions on LCM of 938 and 942

1. What is the LCM of 938 and 942?

Answer: LCM of 938 and 942 is 441798.

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 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

4. How to Find the LCM of 938 and 942?

Answer:

Least Common Multiple of 938 and 942 = 441798

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 942

942 = 2 x 3 x 157

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

LCM = 441798 = 2 x 3 x 7 x 67 x 157

Step 4: Therefore, the least common multiple of 938 and 942 is 441798.