What is the LCM of 15 and 85?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 15 and 85?

Answer: LCM of 15 and 85 is 255

(Two hundred fifty-five)

Finding LCM for 15 and 85 using GCF's of these numbers

The first method to find LCM for numbers 15 and 85 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 85 is 5, so

LCM = (15 × 85) ÷ 5

LCM = 1275 ÷ 5

LCM = 255

Finding LCM for 15 and 85 by Listing Multiples

The second method to find LCM for numbers 15 and 85 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285

Multiples of 85: 85, 170, 255, 340, 425

So the LCM for 15 and 85 is 255

Finding LCM for 15 and 85 by Prime Factorization

Another method to find LCM for numbers 15 and 85 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 15: 3, 5 (exponent form: 3¹, 5¹)

All Prime Factors of 85: 5, 17 (exponent form: 5¹, 17¹)

3¹ × 5¹ × 17¹ = 255

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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 15 and 85? (The answer is: 255). Select the first number (e.g. '15') and the second number (e.g. '85'). 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	85	85
2	85	170
3	85	255
4	85	340
5	85	85
6	85	510
7	85	595
8	85	680
9	85	765
10	85	170
11	85	935
12	85	1020
13	85	1105
14	85	1190
15	85	255
16	85	1360
17	85	85
18	85	1530
19	85	1615
20	85	340
21	85	1785
22	85	1870
23	85	1955
24	85	2040
25	85	425
26	85	2210
27	85	2295
28	85	2380
29	85	2465
30	85	510

LCM for 15 and 85

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 15 and 85?

Finding LCM for 15 and 85 using GCF's of these numbers

Finding LCM for 15 and 85 by Listing Multiples

Finding LCM for 15 and 85 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 15 and 85?

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