Least Common Multiple of 15203 and 15210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15203 and 15210 the smallest integer that is 231237630 that is divisible by both numbers.

Least Common Multiple (LCM) of 15203 and 15210 is 231237630.

LCM(15203,15210) = 231237630

LCM of 15203 and 15210

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

LCM of:
and

Least Common Multiple of 15203 and 15210

LCM of 15203 and 15210 is 231237630

Least common multiple can be found by multiplying the highest exponent prime factors of 15203 and 15210. First we will calculate the prime factors of 15203 and 15210.

Prime Factorization of 15203


23 15203
661 661
1

Prime factors of 15203 are 23,661. Prime factorization of 15203 in exponential form is:

15203 = 231×6611

Prime Factorization of 15210


2 15210
3 7605
3 2535
5 845
13 169
13 13
1

Prime factors of 15210 are 2, 3, 5,13. Prime factorization of 15210 in exponential form is:

15210 = 21×32×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 15203 and 15210.

LCM(15203,15210) = 21×32×51×132×231×6611
LCM(15203,15210) = 231237630

Factors of 15203

List of positive integer factors of 15203 that divides 15203 without a remainder.

1, 23, 661, 15203

Factors of 15210

List of positive integer factors of 15210 that divides 15210 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 169, 195, 234, 338, 390, 507, 585, 845, 1014, 1170, 1521, 1690, 2535, 3042, 5070, 7605, 15210

Least Common Multiple of 15203 and 15210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15203 and 15210, than apply into the LCM equation.

GCF(15203,15210) = 1
LCM(15203,15210) = ( 15203 × 15210) / 1
LCM(15203,15210) = 231237630 / 1
LCM(15203,15210) = 231237630

Properties of LCM 15203 and 15210

(i) The LCM of 15210 and 15203 is associative

LCM of 15203 and 15210 = LCM of 15210 and 15203

Related Least Common Multiples of 15203

Related Least Common Multiples of 15210

Frequently Asked Questions on LCM of 15203 and 15210

1. What is the LCM of 15203 and 15210?

Answer: LCM of 15203 and 15210 is 231237630.

2. What are the Factors of 15203?

Answer: Factors of 15203 are 1, 23, 661, 15203. There are 4 integers that are factors of 15203. The greatest factor of 15203 is 15203.

3. What are the Factors of 15210?

Answer: Factors of 15210 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 169, 195, 234, 338, 390, 507, 585, 845, 1014, 1170, 1521, 1690, 2535, 3042, 5070, 7605, 15210. There are 36 integers that are factors of 15210. The greatest factor of 15210 is 15210.

4. How to Find the LCM of 15203 and 15210?

Answer:

Least Common Multiple of 15203 and 15210 = 231237630

Step 1: Find the prime factorization of 15203

15203 = 23 x 661

Step 2: Find the prime factorization of 15210

15210 = 2 x 3 x 3 x 5 x 13 x 13

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

LCM = 231237630 = 2 x 3 x 3 x 5 x 13 x 13 x 23 x 661

Step 4: Therefore, the least common multiple of 15203 and 15210 is 231237630.