What is the LCM of 36 and 198?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 36 and 198?

Answer: LCM of 36 and 198 is 396

(Three hundred ninety-six)

Finding LCM for 36 and 198 using GCF's of these numbers

The first method to find LCM for numbers 36 and 198 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 198 is 18, so

LCM = (36 × 198) ÷ 18

LCM = 7128 ÷ 18

LCM = 396

Finding LCM for 36 and 198 by Listing Multiples

The second method to find LCM for numbers 36 and 198 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468

Multiples of 198: 198, 396, 594, 792

So the LCM for 36 and 198 is 396

Finding LCM for 36 and 198 by Prime Factorization

Another method to find LCM for numbers 36 and 198 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 2², 3²)

All Prime Factors of 198: 2, 3, 3, 11 (exponent form: 2¹, 3², 11¹)

2² × 3² × 11¹ = 396

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 36 and 198? (The answer is: 396). Select the first number (e.g. '36') and the second number (e.g. '198'). 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
21	198	1386
22	198	198
23	198	4554
24	198	792
25	198	4950
26	198	2574
27	198	594
28	198	2772
29	198	5742
30	198	990
31	198	6138
32	198	3168
33	198	198
34	198	3366
35	198	6930
36	198	396
37	198	7326
38	198	3762
39	198	2574
40	198	3960
41	198	8118
42	198	1386
43	198	8514
44	198	396
45	198	990
46	198	4554
47	198	9306
48	198	1584
49	198	9702
50	198	4950

LCM for 36 and 198

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 36 and 198?

Finding LCM for 36 and 198 using GCF's of these numbers

Finding LCM for 36 and 198 by Listing Multiples

Finding LCM for 36 and 198 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 36 and 198?

See Also