Least Common Multiple of 2929 and 2935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2929 and 2935 the smallest integer that is 8596615 that is divisible by both numbers.

Least Common Multiple (LCM) of 2929 and 2935 is 8596615.

LCM(2929,2935) = 8596615

LCM of 2929 and 2935

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

LCM of:
and

Least Common Multiple of 2929 and 2935

LCM of 2929 and 2935 is 8596615

Least common multiple can be found by multiplying the highest exponent prime factors of 2929 and 2935. First we will calculate the prime factors of 2929 and 2935.

Prime Factorization of 2929


29 2929
101 101
1

Prime factors of 2929 are 29,101. Prime factorization of 2929 in exponential form is:

2929 = 291×1011

Prime Factorization of 2935


5 2935
587 587
1

Prime factors of 2935 are 5,587. Prime factorization of 2935 in exponential form is:

2935 = 51×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 2929 and 2935.

LCM(2929,2935) = 51×291×1011×5871
LCM(2929,2935) = 8596615

Factors of 2929

List of positive integer factors of 2929 that divides 2929 without a remainder.

1, 29, 101, 2929

Factors of 2935

List of positive integer factors of 2935 that divides 2935 without a remainder.

1, 5, 587, 2935

Least Common Multiple of 2929 and 2935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2929 and 2935, than apply into the LCM equation.

GCF(2929,2935) = 1
LCM(2929,2935) = ( 2929 × 2935) / 1
LCM(2929,2935) = 8596615 / 1
LCM(2929,2935) = 8596615

Properties of LCM 2929 and 2935

(i) The LCM of 2935 and 2929 is associative

LCM of 2929 and 2935 = LCM of 2935 and 2929

Related Least Common Multiples of 2929

Related Least Common Multiples of 2935

Frequently Asked Questions on LCM of 2929 and 2935

1. What is the LCM of 2929 and 2935?

Answer: LCM of 2929 and 2935 is 8596615.

2. What are the Factors of 2929?

Answer: Factors of 2929 are 1, 29, 101, 2929. There are 4 integers that are factors of 2929. The greatest factor of 2929 is 2929.

3. What are the Factors of 2935?

Answer: Factors of 2935 are 1, 5, 587, 2935. There are 4 integers that are factors of 2935. The greatest factor of 2935 is 2935.

4. How to Find the LCM of 2929 and 2935?

Answer:

Least Common Multiple of 2929 and 2935 = 8596615

Step 1: Find the prime factorization of 2929

2929 = 29 x 101

Step 2: Find the prime factorization of 2935

2935 = 5 x 587

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

LCM = 8596615 = 5 x 29 x 101 x 587

Step 4: Therefore, the least common multiple of 2929 and 2935 is 8596615.