Least Common Multiple of 2938 and 2942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2938 and 2942 the smallest integer that is 4321798 that is divisible by both numbers.

Least Common Multiple (LCM) of 2938 and 2942 is 4321798.

LCM(2938,2942) = 4321798

LCM of 2938 and 2942

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

LCM of:
and

Least Common Multiple of 2938 and 2942

LCM of 2938 and 2942 is 4321798

Least common multiple can be found by multiplying the highest exponent prime factors of 2938 and 2942. First we will calculate the prime factors of 2938 and 2942.

Prime Factorization of 2938


2 2938
13 1469
113 113
1

Prime factors of 2938 are 2, 13,113. Prime factorization of 2938 in exponential form is:

2938 = 21×131×1131

Prime Factorization of 2942


2 2942
1471 1471
1

Prime factors of 2942 are 2,1471. Prime factorization of 2942 in exponential form is:

2942 = 21×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 2938 and 2942.

LCM(2938,2942) = 21×131×1131×14711
LCM(2938,2942) = 4321798

Factors of 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1, 2, 13, 26, 113, 226, 1469, 2938

Factors of 2942

List of positive integer factors of 2942 that divides 2942 without a remainder.

1, 2, 1471, 2942

Least Common Multiple of 2938 and 2942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2938 and 2942, than apply into the LCM equation.

GCF(2938,2942) = 2
LCM(2938,2942) = ( 2938 × 2942) / 2
LCM(2938,2942) = 8643596 / 2
LCM(2938,2942) = 4321798

Properties of LCM 2938 and 2942

(i) The LCM of 2942 and 2938 is associative

LCM of 2938 and 2942 = LCM of 2942 and 2938

Related Least Common Multiples of 2938

Related Least Common Multiples of 2942

Frequently Asked Questions on LCM of 2938 and 2942

1. What is the LCM of 2938 and 2942?

Answer: LCM of 2938 and 2942 is 4321798.

2. What are the Factors of 2938?

Answer: Factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938. There are 8 integers that are factors of 2938. The greatest factor of 2938 is 2938.

3. What are the Factors of 2942?

Answer: Factors of 2942 are 1, 2, 1471, 2942. There are 4 integers that are factors of 2942. The greatest factor of 2942 is 2942.

4. How to Find the LCM of 2938 and 2942?

Answer:

Least Common Multiple of 2938 and 2942 = 4321798

Step 1: Find the prime factorization of 2938

2938 = 2 x 13 x 113

Step 2: Find the prime factorization of 2942

2942 = 2 x 1471

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

LCM = 4321798 = 2 x 13 x 113 x 1471

Step 4: Therefore, the least common multiple of 2938 and 2942 is 4321798.