Least Common Multiple of 597 and 603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 597 and 603 the smallest integer that is 119997 that is divisible by both numbers.

Least Common Multiple (LCM) of 597 and 603 is 119997.

LCM(597,603) = 119997

LCM of 597 and 603

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

LCM of:
and

Least Common Multiple of 597 and 603

LCM of 597 and 603 is 119997

Least common multiple can be found by multiplying the highest exponent prime factors of 597 and 603. First we will calculate the prime factors of 597 and 603.

Prime Factorization of 597


3 597
199 199
1

Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:

597 = 31×1991

Prime Factorization of 603


3 603
3 201
67 67
1

Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:

603 = 32×671

Now multiplying the highest exponent prime factors to calculate the LCM of 597 and 603.

LCM(597,603) = 32×671×1991
LCM(597,603) = 119997

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Least Common Multiple of 597 and 603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 597 and 603, than apply into the LCM equation.

GCF(597,603) = 3
LCM(597,603) = ( 597 × 603) / 3
LCM(597,603) = 359991 / 3
LCM(597,603) = 119997

Properties of LCM 597 and 603

(i) The LCM of 603 and 597 is associative

LCM of 597 and 603 = LCM of 603 and 597

Related Least Common Multiples of 597

Related Least Common Multiples of 603

Frequently Asked Questions on LCM of 597 and 603

1. What is the LCM of 597 and 603?

Answer: LCM of 597 and 603 is 119997.

2. What are the Factors of 597?

Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.

3. What are the Factors of 603?

Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.

4. How to Find the LCM of 597 and 603?

Answer:

Least Common Multiple of 597 and 603 = 119997

Step 1: Find the prime factorization of 597

597 = 3 x 199

Step 2: Find the prime factorization of 603

603 = 3 x 3 x 67

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

LCM = 119997 = 3 x 3 x 67 x 199

Step 4: Therefore, the least common multiple of 597 and 603 is 119997.