Least Common Multiple of 953 and 956

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 956 the smallest integer that is 911068 that is divisible by both numbers.

Least Common Multiple (LCM) of 953 and 956 is 911068.

LCM(953,956) = 911068

LCM of 953 and 956

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

LCM of:
and

Least Common Multiple of 953 and 956

LCM of 953 and 956 is 911068

Least common multiple can be found by multiplying the highest exponent prime factors of 953 and 956. First we will calculate the prime factors of 953 and 956.

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 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 953 and 956.

LCM(953,956) = 22×2391×9531
LCM(953,956) = 911068

Factors of 953

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

1, 953

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Least Common Multiple of 953 and 956 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 956, than apply into the LCM equation.

GCF(953,956) = 1
LCM(953,956) = ( 953 × 956) / 1
LCM(953,956) = 911068 / 1
LCM(953,956) = 911068

Properties of LCM 953 and 956

(i) The LCM of 956 and 953 is associative

LCM of 953 and 956 = LCM of 956 and 953

Related Least Common Multiples of 953

Related Least Common Multiples of 956

Frequently Asked Questions on LCM of 953 and 956

1. What is the LCM of 953 and 956?

Answer: LCM of 953 and 956 is 911068.

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 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

4. How to Find the LCM of 953 and 956?

Answer:

Least Common Multiple of 953 and 956 = 911068

Step 1: Find the prime factorization of 953

953 = 953

Step 2: Find the prime factorization of 956

956 = 2 x 2 x 239

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

LCM = 911068 = 2 x 2 x 239 x 953

Step 4: Therefore, the least common multiple of 953 and 956 is 911068.