Least Common Multiple of 2955 and 2962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2955 and 2962 the smallest integer that is 8752710 that is divisible by both numbers.

Least Common Multiple (LCM) of 2955 and 2962 is 8752710.

LCM(2955,2962) = 8752710

LCM of 2955 and 2962

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

LCM of:
and

Least Common Multiple of 2955 and 2962

LCM of 2955 and 2962 is 8752710

Least common multiple can be found by multiplying the highest exponent prime factors of 2955 and 2962. First we will calculate the prime factors of 2955 and 2962.

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

Prime Factorization of 2962


2 2962
1481 1481
1

Prime factors of 2962 are 2,1481. Prime factorization of 2962 in exponential form is:

2962 = 21×14811

Now multiplying the highest exponent prime factors to calculate the LCM of 2955 and 2962.

LCM(2955,2962) = 21×31×51×1971×14811
LCM(2955,2962) = 8752710

Factors of 2955

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

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

Factors of 2962

List of positive integer factors of 2962 that divides 2962 without a remainder.

1, 2, 1481, 2962

Least Common Multiple of 2955 and 2962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2955 and 2962, than apply into the LCM equation.

GCF(2955,2962) = 1
LCM(2955,2962) = ( 2955 × 2962) / 1
LCM(2955,2962) = 8752710 / 1
LCM(2955,2962) = 8752710

Properties of LCM 2955 and 2962

(i) The LCM of 2962 and 2955 is associative

LCM of 2955 and 2962 = LCM of 2962 and 2955

Related Least Common Multiples of 2955

Related Least Common Multiples of 2962

Frequently Asked Questions on LCM of 2955 and 2962

1. What is the LCM of 2955 and 2962?

Answer: LCM of 2955 and 2962 is 8752710.

2. 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.

3. What are the Factors of 2962?

Answer: Factors of 2962 are 1, 2, 1481, 2962. There are 4 integers that are factors of 2962. The greatest factor of 2962 is 2962.

4. How to Find the LCM of 2955 and 2962?

Answer:

Least Common Multiple of 2955 and 2962 = 8752710

Step 1: Find the prime factorization of 2955

2955 = 3 x 5 x 197

Step 2: Find the prime factorization of 2962

2962 = 2 x 1481

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

LCM = 8752710 = 2 x 3 x 5 x 197 x 1481

Step 4: Therefore, the least common multiple of 2955 and 2962 is 8752710.