Least Common Multiple of 2940 and 2946

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 2946 the smallest integer that is 1443540 that is divisible by both numbers.

Least Common Multiple (LCM) of 2940 and 2946 is 1443540.

LCM(2940,2946) = 1443540

LCM of 2940 and 2946

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

LCM of:
and

Least Common Multiple of 2940 and 2946

LCM of 2940 and 2946 is 1443540

Least common multiple can be found by multiplying the highest exponent prime factors of 2940 and 2946. First we will calculate the prime factors of 2940 and 2946.

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 2946


2 2946
3 1473
491 491
1

Prime factors of 2946 are 2, 3,491. Prime factorization of 2946 in exponential form is:

2946 = 21×31×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 2940 and 2946.

LCM(2940,2946) = 22×31×51×72×4911
LCM(2940,2946) = 1443540

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 2946

List of positive integer factors of 2946 that divides 2946 without a remainder.

1, 2, 3, 6, 491, 982, 1473, 2946

Least Common Multiple of 2940 and 2946 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 2946, than apply into the LCM equation.

GCF(2940,2946) = 6
LCM(2940,2946) = ( 2940 × 2946) / 6
LCM(2940,2946) = 8661240 / 6
LCM(2940,2946) = 1443540

Properties of LCM 2940 and 2946

(i) The LCM of 2946 and 2940 is associative

LCM of 2940 and 2946 = LCM of 2946 and 2940

Related Least Common Multiples of 2940

Related Least Common Multiples of 2946

Frequently Asked Questions on LCM of 2940 and 2946

1. What is the LCM of 2940 and 2946?

Answer: LCM of 2940 and 2946 is 1443540.

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 2946?

Answer: Factors of 2946 are 1, 2, 3, 6, 491, 982, 1473, 2946. There are 8 integers that are factors of 2946. The greatest factor of 2946 is 2946.

4. How to Find the LCM of 2940 and 2946?

Answer:

Least Common Multiple of 2940 and 2946 = 1443540

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 2946

2946 = 2 x 3 x 491

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

LCM = 1443540 = 2 x 2 x 3 x 5 x 7 x 7 x 491

Step 4: Therefore, the least common multiple of 2940 and 2946 is 1443540.