Least Common Multiple of 955 and 962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 955 and 962 the smallest integer that is 918710 that is divisible by both numbers.

Least Common Multiple (LCM) of 955 and 962 is 918710.

LCM(955,962) = 918710

LCM of 955 and 962

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

LCM of:
and

Least Common Multiple of 955 and 962

LCM of 955 and 962 is 918710

Least common multiple can be found by multiplying the highest exponent prime factors of 955 and 962. First we will calculate the prime factors of 955 and 962.

Prime Factorization of 955


5 955
191 191
1

Prime factors of 955 are 5,191. Prime factorization of 955 in exponential form is:

955 = 51×1911

Prime Factorization of 962


2 962
13 481
37 37
1

Prime factors of 962 are 2, 13,37. Prime factorization of 962 in exponential form is:

962 = 21×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 955 and 962.

LCM(955,962) = 21×51×131×371×1911
LCM(955,962) = 918710

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Least Common Multiple of 955 and 962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 955 and 962, than apply into the LCM equation.

GCF(955,962) = 1
LCM(955,962) = ( 955 × 962) / 1
LCM(955,962) = 918710 / 1
LCM(955,962) = 918710

Properties of LCM 955 and 962

(i) The LCM of 962 and 955 is associative

LCM of 955 and 962 = LCM of 962 and 955

Related Least Common Multiples of 955

Related Least Common Multiples of 962

Frequently Asked Questions on LCM of 955 and 962

1. What is the LCM of 955 and 962?

Answer: LCM of 955 and 962 is 918710.

2. What are the Factors of 955?

Answer: Factors of 955 are 1, 5, 191, 955. There are 4 integers that are factors of 955. The greatest factor of 955 is 955.

3. What are the Factors of 962?

Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.

4. How to Find the LCM of 955 and 962?

Answer:

Least Common Multiple of 955 and 962 = 918710

Step 1: Find the prime factorization of 955

955 = 5 x 191

Step 2: Find the prime factorization of 962

962 = 2 x 13 x 37

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

LCM = 918710 = 2 x 5 x 13 x 37 x 191

Step 4: Therefore, the least common multiple of 955 and 962 is 918710.