Least Common Multiple of 153 and 156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 153 and 156 the smallest integer that is 7956 that is divisible by both numbers.

Least Common Multiple (LCM) of 153 and 156 is 7956.

LCM(153,156) = 7956

LCM of 153 and 156

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

LCM of:
and

Least Common Multiple of 153 and 156

LCM of 153 and 156 is 7956

Least common multiple can be found by multiplying the highest exponent prime factors of 153 and 156. First we will calculate the prime factors of 153 and 156.

Prime Factorization of 153


3 153
3 51
17 17
1

Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:

153 = 32×171

Prime Factorization of 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2, 3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 153 and 156.

LCM(153,156) = 22×32×131×171
LCM(153,156) = 7956

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Least Common Multiple of 153 and 156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 153 and 156, than apply into the LCM equation.

GCF(153,156) = 3
LCM(153,156) = ( 153 × 156) / 3
LCM(153,156) = 23868 / 3
LCM(153,156) = 7956

Properties of LCM 153 and 156

(i) The LCM of 156 and 153 is associative

LCM of 153 and 156 = LCM of 156 and 153

Related Least Common Multiples of 153

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 153 and 156

1. What is the LCM of 153 and 156?

Answer: LCM of 153 and 156 is 7956.

2. What are the Factors of 153?

Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.

3. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

4. How to Find the LCM of 153 and 156?

Answer:

Least Common Multiple of 153 and 156 = 7956

Step 1: Find the prime factorization of 153

153 = 3 x 3 x 17

Step 2: Find the prime factorization of 156

156 = 2 x 2 x 3 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 = 7956 = 2 x 2 x 3 x 3 x 13 x 17

Step 4: Therefore, the least common multiple of 153 and 156 is 7956.