Least Common Multiple of 953 and 955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 953 and 955 the smallest integer that is 910115 that is divisible by both numbers.

Least Common Multiple (LCM) of 953 and 955 is 910115.

LCM(953,955) = 910115

LCM of 953 and 955

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

LCM of:
and

Least Common Multiple of 953 and 955

LCM of 953 and 955 is 910115

Least common multiple can be found by multiplying the highest exponent prime factors of 953 and 955. First we will calculate the prime factors of 953 and 955.

Prime Factorization of 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 953 and 955.

LCM(953,955) = 51×1911×9531
LCM(953,955) = 910115

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1, 953

Factors of 955

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

1, 5, 191, 955

Least Common Multiple of 953 and 955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 953 and 955, than apply into the LCM equation.

GCF(953,955) = 1
LCM(953,955) = ( 953 × 955) / 1
LCM(953,955) = 910115 / 1
LCM(953,955) = 910115

Properties of LCM 953 and 955

(i) The LCM of 955 and 953 is associative

LCM of 953 and 955 = LCM of 955 and 953

Related Least Common Multiples of 953

Related Least Common Multiples of 955

Frequently Asked Questions on LCM of 953 and 955

1. What is the LCM of 953 and 955?

Answer: LCM of 953 and 955 is 910115.

2. What are the Factors of 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

3. 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.

4. How to Find the LCM of 953 and 955?

Answer:

Least Common Multiple of 953 and 955 = 910115

Step 1: Find the prime factorization of 953

953 = 953

Step 2: Find the prime factorization of 955

955 = 5 x 191

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

LCM = 910115 = 5 x 191 x 953

Step 4: Therefore, the least common multiple of 953 and 955 is 910115.