LCM for 150 and 225

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 150 and 225?

Answer

LCM of 150 and 225 is
450

(Four hundred fifty)

Finding LCM for 150 and 225 using GCF of these numbers

The first method to find LCM for numbers 150 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 150 and 225 is 75, so

LCM = (150 × 225) ÷ 75

LCM = 33,750 ÷ 75

LCM = 450

Finding LCM for 150 and 225 by Listing Multiples

The second method to find LCM for numbers 150 and 225 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 150: 150, 300, 450, 600, 750

Multiples of 225: 225, 450, 675, 900

So the LCM for 150 and 225 is 450

Finding LCM for 150 and 225 by Prime Factorization

Another method to find LCM for numbers 150 and 225 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

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

21 × 32 × 52 = 450

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 150 and 225? (The answer is: 450). Select the first number (e.g. '150') 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
1502101,050
15021131,650
15021215,900
15021310,650
15021416,050
1502156,450
1502165,400
15021732,550
15021816,350
15021910,950
1502203,300
15022133,150
1502225,550
15022333,450
15022416,800
150225450
15022616,950
15022734,050
1502285,700
15022934,350
1502303,450
15023111,550
15023217,400
15023334,950
1502345,850
1502357,050
15023617,700
15023711,850
15023817,850
15023935,850

FAQ

What's the Least Common Multiple (LCM) of 150 and 225?

LCM of 150 and 225 is 450

How to find the LCM of 150 and 225 using prime factorization?

To find the LCM of 150 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 450.

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 150 and 225: LCM = 450, GCF = 75.

See Also