Least Common Multiple of 2940 and 2945

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 2945 the smallest integer that is 1731660 that is divisible by both numbers.

Least Common Multiple (LCM) of 2940 and 2945 is 1731660.

LCM(2940,2945) = 1731660

LCM of 2940 and 2945

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

LCM of:
and

Least Common Multiple of 2940 and 2945

LCM of 2940 and 2945 is 1731660

Least common multiple can be found by multiplying the highest exponent prime factors of 2940 and 2945. First we will calculate the prime factors of 2940 and 2945.

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 2945


5 2945
19 589
31 31
1

Prime factors of 2945 are 5, 19,31. Prime factorization of 2945 in exponential form is:

2945 = 51×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2940 and 2945.

LCM(2940,2945) = 22×31×51×72×191×311
LCM(2940,2945) = 1731660

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 2945

List of positive integer factors of 2945 that divides 2945 without a remainder.

1, 5, 19, 31, 95, 155, 589, 2945

Least Common Multiple of 2940 and 2945 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 2945, than apply into the LCM equation.

GCF(2940,2945) = 5
LCM(2940,2945) = ( 2940 × 2945) / 5
LCM(2940,2945) = 8658300 / 5
LCM(2940,2945) = 1731660

Properties of LCM 2940 and 2945

(i) The LCM of 2945 and 2940 is associative

LCM of 2940 and 2945 = LCM of 2945 and 2940

Related Least Common Multiples of 2940

Related Least Common Multiples of 2945

Frequently Asked Questions on LCM of 2940 and 2945

1. What is the LCM of 2940 and 2945?

Answer: LCM of 2940 and 2945 is 1731660.

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 2945?

Answer: Factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945. There are 8 integers that are factors of 2945. The greatest factor of 2945 is 2945.

4. How to Find the LCM of 2940 and 2945?

Answer:

Least Common Multiple of 2940 and 2945 = 1731660

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 2945

2945 = 5 x 19 x 31

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

LCM = 1731660 = 2 x 2 x 3 x 5 x 7 x 7 x 19 x 31

Step 4: Therefore, the least common multiple of 2940 and 2945 is 1731660.