LCM for 15 and 47

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Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 15 and 47?

Answer

LCM of 15 and 47 is 705

(Seven hundred five)

Finding LCM for 15 and 47 using GCF of these numbers

The first method to find LCM for numbers 15 and 47 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 47 is 1, so

LCM = (15 × 47) ÷ 1

LCM = 705 ÷ 1

LCM = 705

Finding LCM for 15 and 47 by Listing Multiples

The second method to find LCM for numbers 15 and 47 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735

Multiples of 47: 47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799

So the LCM for 15 and 47 is 705

Finding LCM for 15 and 47 by Prime Factorization

Another method to find LCM for numbers 15 and 47 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 47: 47 (exponent form: 471)

31 × 51 × 471 = 705

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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 47? (The answer is: 705). Select the first number (e.g. '15') and the second number (e.g. '47'). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
14747
24794
347141
447188
547235
647282
747329
847376
947423
1047470
1147517
1247564
1347611
1447658
1547705
1647752
1747799
1847846
1947893
2047940
2147987
22471034
23471081
24471128
25471175
26471222
27471269
28471316
29471363
30471410

FAQ

What's the Least Common Multiple (LCM) of 15 and 47?

LCM of 15 and 47 is 705

How to find the LCM of 15 and 47 using prime factorization?

To find the LCM of 15 and 47, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 705.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 15 and 47: LCM = 705, GCF = 1.

See Also