Least Common Multiple of 151 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 151 and 154 the smallest integer that is 23254 that is divisible by both numbers.

Least Common Multiple (LCM) of 151 and 154 is 23254.

LCM(151,154) = 23254

LCM of 151 and 154

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

LCM of:
and

Least Common Multiple of 151 and 154

LCM of 151 and 154 is 23254

Least common multiple can be found by multiplying the highest exponent prime factors of 151 and 154. First we will calculate the prime factors of 151 and 154.

Prime Factorization of 151


151 151
1

Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:

151 = 1511

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 151 and 154.

LCM(151,154) = 21×71×111×1511
LCM(151,154) = 23254

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1, 151

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 151 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 151 and 154, than apply into the LCM equation.

GCF(151,154) = 1
LCM(151,154) = ( 151 × 154) / 1
LCM(151,154) = 23254 / 1
LCM(151,154) = 23254

Properties of LCM 151 and 154

(i) The LCM of 154 and 151 is associative

LCM of 151 and 154 = LCM of 154 and 151

Related Least Common Multiples of 151

Related Least Common Multiples of 154

Frequently Asked Questions on LCM of 151 and 154

1. What is the LCM of 151 and 154?

Answer: LCM of 151 and 154 is 23254.

2. What are the Factors of 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

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 151 and 154?

Answer:

Least Common Multiple of 151 and 154 = 23254

Step 1: Find the prime factorization of 151

151 = 151

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 = 23254 = 2 x 7 x 11 x 151

Step 4: Therefore, the least common multiple of 151 and 154 is 23254.