Least Common Multiple of 2937 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 2937 and 2942 the smallest integer that is 8640654 that is divisible by both numbers.

Least Common Multiple (LCM) of 2937 and 2942 is 8640654.

LCM(2937,2942) = 8640654

LCM of 2937 and 2942

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

LCM of:
and

Least Common Multiple of 2937 and 2942

LCM of 2937 and 2942 is 8640654

Least common multiple can be found by multiplying the highest exponent prime factors of 2937 and 2942. First we will calculate the prime factors of 2937 and 2942.

Prime Factorization of 2937


3 2937
11 979
89 89
1

Prime factors of 2937 are 3, 11,89. Prime factorization of 2937 in exponential form is:

2937 = 31×111×891

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 2937 and 2942.

LCM(2937,2942) = 21×31×111×891×14711
LCM(2937,2942) = 8640654

Factors of 2937

List of positive integer factors of 2937 that divides 2937 without a remainder.

1, 3, 11, 33, 89, 267, 979, 2937

Factors of 2942

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

1, 2, 1471, 2942

Least Common Multiple of 2937 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 2937 and 2942, than apply into the LCM equation.

GCF(2937,2942) = 1
LCM(2937,2942) = ( 2937 × 2942) / 1
LCM(2937,2942) = 8640654 / 1
LCM(2937,2942) = 8640654

Properties of LCM 2937 and 2942

(i) The LCM of 2942 and 2937 is associative

LCM of 2937 and 2942 = LCM of 2942 and 2937

Related Least Common Multiples of 2937

Related Least Common Multiples of 2942

Frequently Asked Questions on LCM of 2937 and 2942

1. What is the LCM of 2937 and 2942?

Answer: LCM of 2937 and 2942 is 8640654.

2. What are the Factors of 2937?

Answer: Factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937. There are 8 integers that are factors of 2937. The greatest factor of 2937 is 2937.

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 2937 and 2942?

Answer:

Least Common Multiple of 2937 and 2942 = 8640654

Step 1: Find the prime factorization of 2937

2937 = 3 x 11 x 89

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 = 8640654 = 2 x 3 x 11 x 89 x 1471

Step 4: Therefore, the least common multiple of 2937 and 2942 is 8640654.