Least Common Multiple of 4142 and 4149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4142 and 4149 the smallest integer that is 17185158 that is divisible by both numbers.

Least Common Multiple (LCM) of 4142 and 4149 is 17185158.

LCM(4142,4149) = 17185158

LCM of 4142 and 4149

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

LCM of:
and

Least Common Multiple of 4142 and 4149

LCM of 4142 and 4149 is 17185158

Least common multiple can be found by multiplying the highest exponent prime factors of 4142 and 4149. First we will calculate the prime factors of 4142 and 4149.

Prime Factorization of 4142


2 4142
19 2071
109 109
1

Prime factors of 4142 are 2, 19,109. Prime factorization of 4142 in exponential form is:

4142 = 21×191×1091

Prime Factorization of 4149


3 4149
3 1383
461 461
1

Prime factors of 4149 are 3,461. Prime factorization of 4149 in exponential form is:

4149 = 32×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 4142 and 4149.

LCM(4142,4149) = 21×32×191×1091×4611
LCM(4142,4149) = 17185158

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1, 2, 19, 38, 109, 218, 2071, 4142

Factors of 4149

List of positive integer factors of 4149 that divides 4149 without a remainder.

1, 3, 9, 461, 1383, 4149

Least Common Multiple of 4142 and 4149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4142 and 4149, than apply into the LCM equation.

GCF(4142,4149) = 1
LCM(4142,4149) = ( 4142 × 4149) / 1
LCM(4142,4149) = 17185158 / 1
LCM(4142,4149) = 17185158

Properties of LCM 4142 and 4149

(i) The LCM of 4149 and 4142 is associative

LCM of 4142 and 4149 = LCM of 4149 and 4142

Related Least Common Multiples of 4142

Related Least Common Multiples of 4149

Frequently Asked Questions on LCM of 4142 and 4149

1. What is the LCM of 4142 and 4149?

Answer: LCM of 4142 and 4149 is 17185158.

2. What are the Factors of 4142?

Answer: Factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142. There are 8 integers that are factors of 4142. The greatest factor of 4142 is 4142.

3. What are the Factors of 4149?

Answer: Factors of 4149 are 1, 3, 9, 461, 1383, 4149. There are 6 integers that are factors of 4149. The greatest factor of 4149 is 4149.

4. How to Find the LCM of 4142 and 4149?

Answer:

Least Common Multiple of 4142 and 4149 = 17185158

Step 1: Find the prime factorization of 4142

4142 = 2 x 19 x 109

Step 2: Find the prime factorization of 4149

4149 = 3 x 3 x 461

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

LCM = 17185158 = 2 x 3 x 3 x 19 x 109 x 461

Step 4: Therefore, the least common multiple of 4142 and 4149 is 17185158.