LCM for 175 and 225

What's the Least Common Multiple (LCM) of 175 and 225?

Answer: LCM of 175 and 225 is 1,575

(One thousand, five hundred seventy-five)

Finding LCM for 175 and 225 using GCF's of these numbers

The first method to find LCM for numbers 175 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 175 and 225 is 25, so

LCM = (175 × 225) ÷ 25

LCM = 39375 ÷ 25

LCM = 1575

Finding LCM for 175 and 225 by Listing Multiples

The second method to find LCM for numbers 175 and 225 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 175: 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750, 1925

Multiples of 225: 225, 450, 675, 900, 1125, 1350, 1575, 1800, 2025

So the LCM for 175 and 225 is 1575

Finding LCM for 175 and 225 by Prime Factorization

Another method to find LCM for numbers 175 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 175: 5, 5, 7 (exponent form: 52, 71)

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

52 × 71 × 32 = 1575

See Also

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 175 and 225? (The answer is: 1575). Select the first number (e.g. '175') 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

LCM Table

Number 1Number 2LCM
1602257200
16122536225
1622254050
16322536675
16422536900
1652252475
16622537350
16722537575
16822512600
16922538025
1702257650
1712254275
17222538700
17322538925
17422513050
175225
17622539600
17722513275
17822540050
17922540275
180225900
18122540725
18222540950
18322513725
18422541400
1852258325
18622513950
18722542075
18822542300
1892254725

FAQ

What's the Least Common Multiple (LCM) of 175 and 225?

LCM of 175 and 225 is 1,575