LCM for 15 and 10

What's the Least Common Multiple (LCM) of 15 and 10?

Answer: LCM of 15 and 10 is 30

(Thirty)

Finding LCM for 15 and 10 using GCF's of these numbers

The first method to find LCM for numbers 15 and 10 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 10 is 5, so

LCM = (15 × 10) ÷ 5

LCM = 150 ÷ 5

LCM = 30

Finding LCM for 15 and 10 by Listing Multiples

The second method to find LCM for numbers 15 and 10 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 15: 15, 30, 45, 60

Multiples of 10: 10, 20, 30, 40, 50

So the LCM for 15 and 10 is 30

Finding LCM for 15 and 10 by Prime Factorization

Another method to find LCM for numbers 15 and 10 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 10: 2, 5 (exponent form: 21, 51)

31 × 51 × 21 = 30

LCM Table

Number 1Number 2LCM
110
210
310
410
510
610
710
810
910
101010
1110110
1210
1310130
141070
1510
161080
1710170
181090
1910190
201020
2110210
2210110
2310230
2410120
251050
2610130
2710270
2810140
2910290
301030

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 10? (The answer is: 30). Select the first number (e.g. '15') and the second number (e.g. '10'). 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

FAQ

What's the Least Common Multiple (LCM) of 15 and 10?

LCM of 15 and 10 is 30