LCM for 10 and 170

What's the Least Common Multiple (LCM) of 10 and 170?

Answer: LCM of 10 and 170 is 170

(One hundred seventy)

Finding LCM for 10 and 170 using GCF's of these numbers

The first method to find LCM for numbers 10 and 170 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 170 is 10, so

LCM = (10 × 170) ÷ 10

LCM = 1700 ÷ 10

LCM = 170

Finding LCM for 10 and 170 by Listing Multiples

The second method to find LCM for numbers 10 and 170 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190

Multiples of 170: 170, 340, 510, 680, 850, 1020, 1190, 1360, 1530, 1700, 1870, 2040, 2210, 2380, 2550, 2720, 2890, 3060, 3230, [...], 170

So the LCM for 10 and 170 is 170

Finding LCM for 10 and 170 by Prime Factorization

Another method to find LCM for numbers 10 and 170 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 170: 2, 5, 17 (exponent form: 21, 51, 171)

21 × 51 × 171 = 170

Related Calculations

LCM Table

Number 1Number 2LCM
1170170
2170170
3170510
4170340
5170170
6170510
71701190
8170680
91701530
10170
111701870
121701020
131702210
141701190
15170510
161701360
17170170
181701530
191703230
20170340
211703570
221701870
231703910
241702040
25170850
261702210
271704590
281702380
291704930
30170510

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 10 and 170? (The answer is: 170). Select the first number (e.g. '10') and the second number (e.g. '170'). 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 10 and 170?

LCM of 10 and 170 is 170