What is the LCM of 30 and 225?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 225?

Answer: LCM of 30 and 225 is 450

(Four hundred fifty)

Finding LCM for 30 and 225 using GCF's of these numbers

The first method to find LCM for numbers 30 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 225 is 15, so

LCM = (30 × 225) ÷ 15

LCM = 6750 ÷ 15

LCM = 450

Finding LCM for 30 and 225 by Listing Multiples

The second method to find LCM for numbers 30 and 225 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510

Multiples of 225: 225, 450, 675, 900

So the LCM for 30 and 225 is 450

Finding LCM for 30 and 225 by Prime Factorization

Another method to find LCM for numbers 30 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 2¹, 3¹, 5¹)

All Prime Factors of 225: 3, 3, 5, 5 (exponent form: 3², 5²)

2¹ × 3² × 5² = 450

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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 30 and 225? (The answer is: 450). Select the first number (e.g. '30') and the second number (e.g. '225'). 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
15	225	225
16	225	3600
17	225	3825
18	225	450
19	225	4275
20	225	900
21	225	1575
22	225	4950
23	225	5175
24	225	1800
25	225	225
26	225	5850
27	225	675
28	225	6300
29	225	6525
30	225	450
31	225	6975
32	225	7200
33	225	2475
34	225	7650
35	225	1575
36	225	900
37	225	8325
38	225	8550
39	225	2925
40	225	1800
41	225	9225
42	225	3150
43	225	9675
44	225	9900

LCM for 30 and 225

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 225?

Finding LCM for 30 and 225 using GCF's of these numbers

Finding LCM for 30 and 225 by Listing Multiples

Finding LCM for 30 and 225 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 30 and 225?

See Also