Least Common Multiple of 141 and 148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 141 and 148 the smallest integer that is 20868 that is divisible by both numbers.

Least Common Multiple (LCM) of 141 and 148 is 20868.

LCM(141,148) = 20868

LCM of 141 and 148

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

LCM of:
and

Least Common Multiple of 141 and 148

LCM of 141 and 148 is 20868

Least common multiple can be found by multiplying the highest exponent prime factors of 141 and 148. First we will calculate the prime factors of 141 and 148.

Prime Factorization of 141


3 141
47 47
1

Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:

141 = 31×471

Prime Factorization of 148


2 148
2 74
37 37
1

Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:

148 = 22×371

Now multiplying the highest exponent prime factors to calculate the LCM of 141 and 148.

LCM(141,148) = 22×31×371×471
LCM(141,148) = 20868

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Least Common Multiple of 141 and 148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 141 and 148, than apply into the LCM equation.

GCF(141,148) = 1
LCM(141,148) = ( 141 × 148) / 1
LCM(141,148) = 20868 / 1
LCM(141,148) = 20868

Properties of LCM 141 and 148

(i) The LCM of 148 and 141 is associative

LCM of 141 and 148 = LCM of 148 and 141

Related Least Common Multiples of 141

Related Least Common Multiples of 148

Frequently Asked Questions on LCM of 141 and 148

1. What is the LCM of 141 and 148?

Answer: LCM of 141 and 148 is 20868.

2. What are the Factors of 141?

Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.

3. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

4. How to Find the LCM of 141 and 148?

Answer:

Least Common Multiple of 141 and 148 = 20868

Step 1: Find the prime factorization of 141

141 = 3 x 47

Step 2: Find the prime factorization of 148

148 = 2 x 2 x 37

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

LCM = 20868 = 2 x 2 x 3 x 37 x 47

Step 4: Therefore, the least common multiple of 141 and 148 is 20868.