Least Common Multiple of 958 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 958 and 959 the smallest integer that is 918722 that is divisible by both numbers.

Least Common Multiple (LCM) of 958 and 959 is 918722.

LCM(958,959) = 918722

LCM of 958 and 959

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

LCM of:
and

Least Common Multiple of 958 and 959

LCM of 958 and 959 is 918722

Least common multiple can be found by multiplying the highest exponent prime factors of 958 and 959. First we will calculate the prime factors of 958 and 959.

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

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 958 and 959.

LCM(958,959) = 21×71×1371×4791
LCM(958,959) = 918722

Factors of 958

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

1, 2, 479, 958

Factors of 959

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

1, 7, 137, 959

Least Common Multiple of 958 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 958 and 959, than apply into the LCM equation.

GCF(958,959) = 1
LCM(958,959) = ( 958 × 959) / 1
LCM(958,959) = 918722 / 1
LCM(958,959) = 918722

Properties of LCM 958 and 959

(i) The LCM of 959 and 958 is associative

LCM of 958 and 959 = LCM of 959 and 958

Related Least Common Multiples of 958

Related Least Common Multiples of 959

Frequently Asked Questions on LCM of 958 and 959

1. What is the LCM of 958 and 959?

Answer: LCM of 958 and 959 is 918722.

2. 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.

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 958 and 959?

Answer:

Least Common Multiple of 958 and 959 = 918722

Step 1: Find the prime factorization of 958

958 = 2 x 479

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 = 918722 = 2 x 7 x 137 x 479

Step 4: Therefore, the least common multiple of 958 and 959 is 918722.