Least Common Multiple of 953 and 959

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 959 the smallest integer that is 913927 that is divisible by both numbers.

Least Common Multiple (LCM) of 953 and 959 is 913927.

LCM(953,959) = 913927

LCM of 953 and 959

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

LCM of:
and

Least Common Multiple of 953 and 959

LCM of 953 and 959 is 913927

Least common multiple can be found by multiplying the highest exponent prime factors of 953 and 959. First we will calculate the prime factors of 953 and 959.

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 959


7 959
137 137
1

Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:

959 = 71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 953 and 959.

LCM(953,959) = 71×1371×9531
LCM(953,959) = 913927

Factors of 953

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

1, 953

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Least Common Multiple of 953 and 959 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 959, than apply into the LCM equation.

GCF(953,959) = 1
LCM(953,959) = ( 953 × 959) / 1
LCM(953,959) = 913927 / 1
LCM(953,959) = 913927

Properties of LCM 953 and 959

(i) The LCM of 959 and 953 is associative

LCM of 953 and 959 = LCM of 959 and 953

Related Least Common Multiples of 953

Related Least Common Multiples of 959

Frequently Asked Questions on LCM of 953 and 959

1. What is the LCM of 953 and 959?

Answer: LCM of 953 and 959 is 913927.

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 959?

Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.

4. How to Find the LCM of 953 and 959?

Answer:

Least Common Multiple of 953 and 959 = 913927

Step 1: Find the prime factorization of 953

953 = 953

Step 2: Find the prime factorization of 959

959 = 7 x 137

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

LCM = 913927 = 7 x 137 x 953

Step 4: Therefore, the least common multiple of 953 and 959 is 913927.