LCM for 15 and 64

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 15 and 64?

Answer

LCM of 15 and 64 is
960

(Nine hundred sixty)

Finding LCM for 15 and 64 using GCF of these numbers

The first method to find LCM for numbers 15 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 64 is 1, so

LCM = (15 × 64) ÷ 1

LCM = 960 ÷ 1

LCM = 960

Finding LCM for 15 and 64 by Listing Multiples

The second method to find LCM for numbers 15 and 64 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, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1,024, 1,088

So the LCM for 15 and 64 is 960

Finding LCM for 15 and 64 by Prime Factorization

Another method to find LCM for numbers 15 and 64 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 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

31 × 51 × 26 = 960

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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 64? (The answer is: 960). Select the first number (e.g. '15') and the second number (e.g. '64'). 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
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LCM Table

Number 1Number 2LCM
152575
1526390
1527135
1528420
153030
1531465
1533165
1534510
1535105
1536180
1537555
1539195
1540120
1543645
154545
1546690
1547705
1550150
1551255
1552780
1554270
1556840
1558870
1559885
156060
1564960
157575
15771,155
15100300
15125375

FAQ

What's the Least Common Multiple (LCM) of 15 and 64?

LCM of 15 and 64 is 960

How to find the LCM of 15 and 64 using prime factorization?

To find the LCM of 15 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 960.

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 64: LCM = 960, GCF = 1.

See Also