What is the LCM of 12 and 35?

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What's the Least Common Multiple (LCM) of 12 and 35?

Answer: LCM of 12 and 35 is 420

(Four hundred twenty)

Finding LCM for 12 and 35 using GCF's of these numbers

The first method to find LCM for numbers 12 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 35 is 1, so

LCM = (12 × 35) ÷ 1

LCM = 420 ÷ 1

LCM = 420

Finding LCM for 12 and 35 by Listing Multiples

The second method to find LCM for numbers 12 and 35 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, 360, 372, 384, 396, 408, 420, 432, 444

Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490

So the LCM for 12 and 35 is 420

Finding LCM for 12 and 35 by Prime Factorization

Another method to find LCM for numbers 12 and 35 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 35: 5, 7 (exponent form: 5¹, 7¹)

2² × 3¹ × 5¹ × 7¹ = 420

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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 12 and 35? (The answer is: 420). Select the first number (e.g. '12') and the second number (e.g. '35'). 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

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LCM Table

Number 1	Number 2	LCM
1	35	35
2	35	70
3	35	105
4	35	140
5	35	35
6	35	210
7	35	35
8	35	280
9	35	315
10	35	70
11	35	385
12	35	420
13	35	455
14	35	70
15	35	105
16	35	560
17	35	595
18	35	630
19	35	665
20	35	140
21	35	105
22	35	770
23	35	805
24	35	840
25	35	175
26	35	910
27	35	945
28	35	140
29	35	1015
30	35	210

LCM for 12 and 35

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 12 and 35?

Finding LCM for 12 and 35 using GCF's of these numbers

Finding LCM for 12 and 35 by Listing Multiples

Finding LCM for 12 and 35 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 12 and 35?

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