Least Common Multiple of 142 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 142 and 148 the smallest integer that is 10508 that is divisible by both numbers.

Least Common Multiple (LCM) of 142 and 148 is 10508.

LCM(142,148) = 10508

LCM of 142 and 148

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

LCM of:
and

Least Common Multiple of 142 and 148

LCM of 142 and 148 is 10508

Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 148. First we will calculate the prime factors of 142 and 148.

Prime Factorization of 142


2 142
71 71
1

Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:

142 = 21×711

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 142 and 148.

LCM(142,148) = 22×371×711
LCM(142,148) = 10508

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 142 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 142 and 148, than apply into the LCM equation.

GCF(142,148) = 2
LCM(142,148) = ( 142 × 148) / 2
LCM(142,148) = 21016 / 2
LCM(142,148) = 10508

Properties of LCM 142 and 148

(i) The LCM of 148 and 142 is associative

LCM of 142 and 148 = LCM of 148 and 142

Related Least Common Multiples of 142

Related Least Common Multiples of 148

Frequently Asked Questions on LCM of 142 and 148

1. What is the LCM of 142 and 148?

Answer: LCM of 142 and 148 is 10508.

2. What are the Factors of 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

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 142 and 148?

Answer:

Least Common Multiple of 142 and 148 = 10508

Step 1: Find the prime factorization of 142

142 = 2 x 71

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 = 10508 = 2 x 2 x 37 x 71

Step 4: Therefore, the least common multiple of 142 and 148 is 10508.