Least Common Multiple of 154 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 154 and 156 the smallest integer that is 12012 that is divisible by both numbers.

Least Common Multiple (LCM) of 154 and 156 is 12012.

LCM(154,156) = 12012

LCM of 154 and 156

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

LCM of:
and

Least Common Multiple of 154 and 156

LCM of 154 and 156 is 12012

Least common multiple can be found by multiplying the highest exponent prime factors of 154 and 156. First we will calculate the prime factors of 154 and 156.

Prime Factorization of 154


2 154
7 77
11 11
1

Prime factors of 154 are 2, 7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

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 154 and 156.

LCM(154,156) = 22×31×71×111×131
LCM(154,156) = 12012

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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 154 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 154 and 156, than apply into the LCM equation.

GCF(154,156) = 2
LCM(154,156) = ( 154 × 156) / 2
LCM(154,156) = 24024 / 2
LCM(154,156) = 12012

Properties of LCM 154 and 156

(i) The LCM of 156 and 154 is associative

LCM of 154 and 156 = LCM of 156 and 154

Related Least Common Multiples of 154

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 154 and 156

1. What is the LCM of 154 and 156?

Answer: LCM of 154 and 156 is 12012.

2. What are the Factors of 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

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 154 and 156?

Answer:

Least Common Multiple of 154 and 156 = 12012

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

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 = 12012 = 2 x 2 x 3 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 154 and 156 is 12012.