Least Common Multiple of 953 and 958

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 958 the smallest integer that is 912974 that is divisible by both numbers.

Least Common Multiple (LCM) of 953 and 958 is 912974.

LCM(953,958) = 912974

LCM of 953 and 958

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

LCM of:
and

Least Common Multiple of 953 and 958

LCM of 953 and 958 is 912974

Least common multiple can be found by multiplying the highest exponent prime factors of 953 and 958. First we will calculate the prime factors of 953 and 958.

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 958


2 958
479 479
1

Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:

958 = 21×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 953 and 958.

LCM(953,958) = 21×4791×9531
LCM(953,958) = 912974

Factors of 953

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

1, 953

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Least Common Multiple of 953 and 958 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 958, than apply into the LCM equation.

GCF(953,958) = 1
LCM(953,958) = ( 953 × 958) / 1
LCM(953,958) = 912974 / 1
LCM(953,958) = 912974

Properties of LCM 953 and 958

(i) The LCM of 958 and 953 is associative

LCM of 953 and 958 = LCM of 958 and 953

Related Least Common Multiples of 953

Related Least Common Multiples of 958

Frequently Asked Questions on LCM of 953 and 958

1. What is the LCM of 953 and 958?

Answer: LCM of 953 and 958 is 912974.

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 958?

Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.

4. How to Find the LCM of 953 and 958?

Answer:

Least Common Multiple of 953 and 958 = 912974

Step 1: Find the prime factorization of 953

953 = 953

Step 2: Find the prime factorization of 958

958 = 2 x 479

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

LCM = 912974 = 2 x 479 x 953

Step 4: Therefore, the least common multiple of 953 and 958 is 912974.