What is the LCM of 12 and 162?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 12 and 162?

Answer: LCM of 12 and 162 is 324

(Three hundred twenty-four)

Finding LCM for 12 and 162 using GCF's of these numbers

The first method to find LCM for numbers 12 and 162 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 162 is 6, so

LCM = (12 × 162) ÷ 6

LCM = 1944 ÷ 6

LCM = 324

Finding LCM for 12 and 162 by Listing Multiples

The second method to find LCM for numbers 12 and 162 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348

Multiples of 162: 162, 324, 486, 648

So the LCM for 12 and 162 is 324

Finding LCM for 12 and 162 by Prime Factorization

Another method to find LCM for numbers 12 and 162 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 12: 2, 2, 3 (exponent form: 2², 3¹)

All Prime Factors of 162: 2, 3, 3, 3, 3 (exponent form: 2¹, 3⁴)

2² × 3⁴ = 324

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 12 and 162? (The answer is: 324). Select the first number (e.g. '12') and the second number (e.g. '162'). After that hit the 'Calculate' button.

Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

LCM Table

Number 1	Number 2	LCM
1	162	162
2	162	162
3	162	162
4	162	324
5	162	810
6	162	162
7	162	1134
8	162	648
9	162	162
10	162	810
11	162	1782
12	162	324
13	162	2106
14	162	1134
15	162	810
16	162	1296
17	162	2754
18	162	162
19	162	3078
20	162	1620
21	162	1134
22	162	1782
23	162	3726
24	162	648
25	162	4050
26	162	2106
27	162	162
28	162	2268
29	162	4698
30	162	810

LCM for 12 and 162

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 12 and 162?

Finding LCM for 12 and 162 using GCF's of these numbers

Finding LCM for 12 and 162 by Listing Multiples

Finding LCM for 12 and 162 by Prime Factorization

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 12 and 162?

See Also