LCM for 45 and 225

What's the Least Common Multiple (LCM) of 45 and 225?

Answer: LCM of 45 and 225 is 225

(Two hundred twenty-five)

Finding LCM for 45 and 225 using GCF's of these numbers

The first method to find LCM for numbers 45 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 225 is 45, so

LCM = (45 × 225) ÷ 45

LCM = 10125 ÷ 45

LCM = 225

Finding LCM for 45 and 225 by Listing Multiples

The second method to find LCM for numbers 45 and 225 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180, 225, 270, 315

Multiples of 225: 225, 450, 675, 900, 1125, 1350, 1575, [...], 225

So the LCM for 45 and 225 is 225

Finding LCM for 45 and 225 by Prime Factorization

Another method to find LCM for numbers 45 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

All Prime Factors of 225: 3, 3, 5, 5 (exponent form: 32, 52)

32 × 52 = 225

LCM Table

Number 1Number 2LCM
30225450
312256975
322257200
332252475
342257650
352251575
36225900
372258325
382258550
392252925
402251800
412259225
422253150
432259675
442259900
45225225
4622510350
4722510575
482253600
4922511025
50225450
512253825
5222511700
5322511925
542251350
552252475
5622512600
572254275
5822513050
5922513275

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 45 and 225? (The answer is: 225). Select the first number (e.g. '45') and the second number (e.g. '225'). 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 45 and 225?

LCM of 45 and 225 is 225