Least Common Multiple of 152 and 154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 152 and 154 the smallest integer that is 11704 that is divisible by both numbers.

Least Common Multiple (LCM) of 152 and 154 is 11704.

LCM(152,154) = 11704

LCM of 152 and 154

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

LCM of:
and

Least Common Multiple of 152 and 154

LCM of 152 and 154 is 11704

Least common multiple can be found by multiplying the highest exponent prime factors of 152 and 154. First we will calculate the prime factors of 152 and 154.

Prime Factorization of 152


2 152
2 76
2 38
19 19
1

Prime factors of 152 are 2,19. Prime factorization of 152 in exponential form is:

152 = 23×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 152 and 154.

LCM(152,154) = 23×71×111×191
LCM(152,154) = 11704

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Factors of 154

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

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

Least Common Multiple of 152 and 154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 152 and 154, than apply into the LCM equation.

GCF(152,154) = 2
LCM(152,154) = ( 152 × 154) / 2
LCM(152,154) = 23408 / 2
LCM(152,154) = 11704

Properties of LCM 152 and 154

(i) The LCM of 154 and 152 is associative

LCM of 152 and 154 = LCM of 154 and 152

Related Least Common Multiples of 152

Related Least Common Multiples of 154

Frequently Asked Questions on LCM of 152 and 154

1. What is the LCM of 152 and 154?

Answer: LCM of 152 and 154 is 11704.

2. What are the Factors of 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

3. 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.

4. How to Find the LCM of 152 and 154?

Answer:

Least Common Multiple of 152 and 154 = 11704

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

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

LCM = 11704 = 2 x 2 x 2 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 152 and 154 is 11704.