Least Common Multiple of 2949 and 2955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2949 and 2955 the smallest integer that is 2904765 that is divisible by both numbers.

Least Common Multiple (LCM) of 2949 and 2955 is 2904765.

LCM(2949,2955) = 2904765

LCM of 2949 and 2955

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

LCM of:
and

Least Common Multiple of 2949 and 2955

LCM of 2949 and 2955 is 2904765

Least common multiple can be found by multiplying the highest exponent prime factors of 2949 and 2955. First we will calculate the prime factors of 2949 and 2955.

Prime Factorization of 2949


3 2949
983 983
1

Prime factors of 2949 are 3,983. Prime factorization of 2949 in exponential form is:

2949 = 31×9831

Prime Factorization of 2955


3 2955
5 985
197 197
1

Prime factors of 2955 are 3, 5,197. Prime factorization of 2955 in exponential form is:

2955 = 31×51×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 2949 and 2955.

LCM(2949,2955) = 31×51×1971×9831
LCM(2949,2955) = 2904765

Factors of 2949

List of positive integer factors of 2949 that divides 2949 without a remainder.

1, 3, 983, 2949

Factors of 2955

List of positive integer factors of 2955 that divides 2955 without a remainder.

1, 3, 5, 15, 197, 591, 985, 2955

Least Common Multiple of 2949 and 2955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2949 and 2955, than apply into the LCM equation.

GCF(2949,2955) = 3
LCM(2949,2955) = ( 2949 × 2955) / 3
LCM(2949,2955) = 8714295 / 3
LCM(2949,2955) = 2904765

Properties of LCM 2949 and 2955

(i) The LCM of 2955 and 2949 is associative

LCM of 2949 and 2955 = LCM of 2955 and 2949

Related Least Common Multiples of 2949

Related Least Common Multiples of 2955

Frequently Asked Questions on LCM of 2949 and 2955

1. What is the LCM of 2949 and 2955?

Answer: LCM of 2949 and 2955 is 2904765.

2. What are the Factors of 2949?

Answer: Factors of 2949 are 1, 3, 983, 2949. There are 4 integers that are factors of 2949. The greatest factor of 2949 is 2949.

3. What are the Factors of 2955?

Answer: Factors of 2955 are 1, 3, 5, 15, 197, 591, 985, 2955. There are 8 integers that are factors of 2955. The greatest factor of 2955 is 2955.

4. How to Find the LCM of 2949 and 2955?

Answer:

Least Common Multiple of 2949 and 2955 = 2904765

Step 1: Find the prime factorization of 2949

2949 = 3 x 983

Step 2: Find the prime factorization of 2955

2955 = 3 x 5 x 197

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

LCM = 2904765 = 3 x 5 x 197 x 983

Step 4: Therefore, the least common multiple of 2949 and 2955 is 2904765.