Least Common Multiple of 596 and 601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 596 and 601 the smallest integer that is 358196 that is divisible by both numbers.

Least Common Multiple (LCM) of 596 and 601 is 358196.

LCM(596,601) = 358196

LCM of 596 and 601

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

LCM of:
and

Least Common Multiple of 596 and 601

LCM of 596 and 601 is 358196

Least common multiple can be found by multiplying the highest exponent prime factors of 596 and 601. First we will calculate the prime factors of 596 and 601.

Prime Factorization of 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

Prime Factorization of 601


601 601
1

Prime factors of 601 are 601. Prime factorization of 601 in exponential form is:

601 = 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 596 and 601.

LCM(596,601) = 22×1491×6011
LCM(596,601) = 358196

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1, 601

Least Common Multiple of 596 and 601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 596 and 601, than apply into the LCM equation.

GCF(596,601) = 1
LCM(596,601) = ( 596 × 601) / 1
LCM(596,601) = 358196 / 1
LCM(596,601) = 358196

Properties of LCM 596 and 601

(i) The LCM of 601 and 596 is associative

LCM of 596 and 601 = LCM of 601 and 596

Related Least Common Multiples of 596

Related Least Common Multiples of 601

Frequently Asked Questions on LCM of 596 and 601

1. What is the LCM of 596 and 601?

Answer: LCM of 596 and 601 is 358196.

2. What are the Factors of 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

3. What are the Factors of 601?

Answer: Factors of 601 are 1, 601. There are 2 integers that are factors of 601. The greatest factor of 601 is 601.

4. How to Find the LCM of 596 and 601?

Answer:

Least Common Multiple of 596 and 601 = 358196

Step 1: Find the prime factorization of 596

596 = 2 x 2 x 149

Step 2: Find the prime factorization of 601

601 = 601

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

LCM = 358196 = 2 x 2 x 149 x 601

Step 4: Therefore, the least common multiple of 596 and 601 is 358196.