LCM for 6 and 15

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 6 and 15?

Answer

LCM of 6 and 15 is 30

(Thirty)

Finding LCM for 6 and 15 using GCF of these numbers

The first method to find LCM for numbers 6 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 15 is 3, so

LCM = (6 × 15) ÷ 3

LCM = 90 ÷ 3

LCM = 30

Finding LCM for 6 and 15 by Listing Multiples

The second method to find LCM for numbers 6 and 15 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42

Multiples of 15: 15, 30, 45, 60

So the LCM for 6 and 15 is 30

Finding LCM for 6 and 15 by Prime Factorization

Another method to find LCM for numbers 6 and 15 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 6: 2, 3 (exponent form: 21, 31)

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

21 × 31 × 51 = 30

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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 6 and 15? (The answer is: 30). Select the first number (e.g. '6') and the second number (e.g. '15'). 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
11515
21530
31515
41560
51515
61530
715105
815120
91545
101530
1115165
121560
1315195
1415210
151515
1615240
1715255
181590
1915285
201560
2115105
2215330
2315345
2415120
251575
2615390
2715135
2815420
2915435
301530

FAQ

What's the Least Common Multiple (LCM) of 6 and 15?

LCM of 6 and 15 is 30

How to find the LCM of 6 and 15 using prime factorization?

To find the LCM of 6 and 15, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 30.

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 6 and 15: LCM = 30, GCF = 3.

See Also