Least Common Multiple of 2934 and 2940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2934 and 2940 the smallest integer that is 1437660 that is divisible by both numbers.

Least Common Multiple (LCM) of 2934 and 2940 is 1437660.

LCM(2934,2940) = 1437660

LCM of 2934 and 2940

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

LCM of:
and

Least Common Multiple of 2934 and 2940

LCM of 2934 and 2940 is 1437660

Least common multiple can be found by multiplying the highest exponent prime factors of 2934 and 2940. First we will calculate the prime factors of 2934 and 2940.

Prime Factorization of 2934


2 2934
3 1467
3 489
163 163
1

Prime factors of 2934 are 2, 3,163. Prime factorization of 2934 in exponential form is:

2934 = 21×32×1631

Prime Factorization of 2940


2 2940
2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 2940 are 2, 3, 5,7. Prime factorization of 2940 in exponential form is:

2940 = 22×31×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 2934 and 2940.

LCM(2934,2940) = 22×32×51×72×1631
LCM(2934,2940) = 1437660

Factors of 2934

List of positive integer factors of 2934 that divides 2934 without a remainder.

1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940

Least Common Multiple of 2934 and 2940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2934 and 2940, than apply into the LCM equation.

GCF(2934,2940) = 6
LCM(2934,2940) = ( 2934 × 2940) / 6
LCM(2934,2940) = 8625960 / 6
LCM(2934,2940) = 1437660

Properties of LCM 2934 and 2940

(i) The LCM of 2940 and 2934 is associative

LCM of 2934 and 2940 = LCM of 2940 and 2934

Related Least Common Multiples of 2934

Related Least Common Multiples of 2940

Frequently Asked Questions on LCM of 2934 and 2940

1. What is the LCM of 2934 and 2940?

Answer: LCM of 2934 and 2940 is 1437660.

2. What are the Factors of 2934?

Answer: Factors of 2934 are 1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934. There are 12 integers that are factors of 2934. The greatest factor of 2934 is 2934.

3. What are the Factors of 2940?

Answer: Factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940. There are 36 integers that are factors of 2940. The greatest factor of 2940 is 2940.

4. How to Find the LCM of 2934 and 2940?

Answer:

Least Common Multiple of 2934 and 2940 = 1437660

Step 1: Find the prime factorization of 2934

2934 = 2 x 3 x 3 x 163

Step 2: Find the prime factorization of 2940

2940 = 2 x 2 x 3 x 5 x 7 x 7

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

LCM = 1437660 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 163

Step 4: Therefore, the least common multiple of 2934 and 2940 is 1437660.