LCM for 105 and 225

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 105 and 225?

Answer

LCM of 105 and 225 is
1,575

(One thousand five hundred seventy-five)

Finding LCM for 105 and 225 using GCF of these numbers

The first method to find LCM for numbers 105 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 225 is 15, so

LCM = (105 × 225) ÷ 15

LCM = 23,625 ÷ 15

LCM = 1,575

Finding LCM for 105 and 225 by Listing Multiples

The second method to find LCM for numbers 105 and 225 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1,050, 1,155, 1,260, 1,365, 1,470, 1,575, 1,680, 1,785

Multiples of 225: 225, 450, 675, 900, 1,125, 1,350, 1,575, 1,800, 2,025

So the LCM for 105 and 225 is 1,575

Finding LCM for 105 and 225 by Prime Factorization

Another method to find LCM for numbers 105 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

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

32 × 52 × 71 = 1,575

Related Calculations

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 105 and 225? (The answer is: 1,575). Select the first number (e.g. '105') 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
"Least Common Multiple" Calculator
Least Common Multiple of
and

LCM Table

Number 1Number 2LCM
105120840
105126630
1051302,730
105147735
1051501,050
1051542,310
1051651,155
1051703,570
105175525
105189945
1051951,365
1052251,575
105245735
1054622,310
1057702,310

FAQ

What's the Least Common Multiple (LCM) of 105 and 225?

LCM of 105 and 225 is 1,575

How to find the LCM of 105 and 225 using prime factorization?

To find the LCM of 105 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,575.

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 105 and 225: LCM = 1,575, GCF = 15.

See Also