LCM for 300 and 180

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What's the Least Common Multiple (LCM) of 300 and 180?

Answer

LCM of 300 and 180 is
900

(Nine hundred)

Finding LCM for 300 and 180 using GCF of these numbers

The first method to find LCM for numbers 300 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 300 and 180 is 60, so

LCM = (300 × 180) ÷ 60

LCM = 54,000 ÷ 60

LCM = 900

Finding LCM for 300 and 180 by Listing Multiples

The second method to find LCM for numbers 300 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 300: 300, 600, 900, 1200, 1500

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260

So the LCM for 300 and 180 is 900

Finding LCM for 300 and 180 by Prime Factorization

Another method to find LCM for numbers 300 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

22 × 32 × 52 = 900

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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 300 and 180? (The answer is: 900). Select the first number (e.g. '300') and the second number (e.g. '180'). 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
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LCM Table

Number 1Number 2LCM
3001653,300
30016624,900
30016750,100
3001684,200
30016950,700
3001705,100
30017117,100
30017212,900
30017351,900
3001748,700
3001752,100
30017613,200
30017717,700
30017826,700
30017953,700
300180900
30018154,300
30018227,300
30018318,300
30018413,800
30018511,100
3001869,300
30018756,100
30018814,100
30018918,900
3001905,700
30019157,300
3001924,800
30019357,900
30019429,100

FAQ

What's the Least Common Multiple (LCM) of 300 and 180?

LCM of 300 and 180 is 900

How to find the LCM of 300 and 180 using prime factorization?

To find the LCM of 300 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 300 and 180: LCM = 900, GCF = 60.

See Also