Least Common Multiple of 2940 and 2947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2940 and 2947 the smallest integer that is 1237740 that is divisible by both numbers.

Least Common Multiple (LCM) of 2940 and 2947 is 1237740.

LCM(2940,2947) = 1237740

LCM of 2940 and 2947

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

LCM of:
and

Least Common Multiple of 2940 and 2947

LCM of 2940 and 2947 is 1237740

Least common multiple can be found by multiplying the highest exponent prime factors of 2940 and 2947. First we will calculate the prime factors of 2940 and 2947.

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

Prime Factorization of 2947


7 2947
421 421
1

Prime factors of 2947 are 7,421. Prime factorization of 2947 in exponential form is:

2947 = 71×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 2940 and 2947.

LCM(2940,2947) = 22×31×51×72×4211
LCM(2940,2947) = 1237740

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

Factors of 2947

List of positive integer factors of 2947 that divides 2947 without a remainder.

1, 7, 421, 2947

Least Common Multiple of 2940 and 2947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2940 and 2947, than apply into the LCM equation.

GCF(2940,2947) = 7
LCM(2940,2947) = ( 2940 × 2947) / 7
LCM(2940,2947) = 8664180 / 7
LCM(2940,2947) = 1237740

Properties of LCM 2940 and 2947

(i) The LCM of 2947 and 2940 is associative

LCM of 2940 and 2947 = LCM of 2947 and 2940

Related Least Common Multiples of 2940

Related Least Common Multiples of 2947

Frequently Asked Questions on LCM of 2940 and 2947

1. What is the LCM of 2940 and 2947?

Answer: LCM of 2940 and 2947 is 1237740.

2. 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.

3. What are the Factors of 2947?

Answer: Factors of 2947 are 1, 7, 421, 2947. There are 4 integers that are factors of 2947. The greatest factor of 2947 is 2947.

4. How to Find the LCM of 2940 and 2947?

Answer:

Least Common Multiple of 2940 and 2947 = 1237740

Step 1: Find the prime factorization of 2940

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

Step 2: Find the prime factorization of 2947

2947 = 7 x 421

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

LCM = 1237740 = 2 x 2 x 3 x 5 x 7 x 7 x 421

Step 4: Therefore, the least common multiple of 2940 and 2947 is 1237740.