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LCM for 120 and 300

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 300?

Answer

LCM of 120 and 300 is 600

(Six hundred)

Finding LCM for 120 and 300 using GCF of these numbers

The first method to find LCM for numbers 120 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 300 is 60, so

LCM = (120 × 300) ÷ 60

LCM = 36000 ÷ 60

LCM = 600

Finding LCM for 120 and 300 by Listing Multiples

The second method to find LCM for numbers 120 and 300 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840

Multiples of 300: 300, 600, 900, 1200

So the LCM for 120 and 300 is 600

Finding LCM for 120 and 300 by Prime Factorization

Another method to find LCM for numbers 120 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

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

23 × 31 × 52 = 600

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What is the LCM of 120 and 300?. Find the LCM of 120 and 300 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1053002100
10630015900
10730032100
1083002700
10930032700
1103003300
11130011100
1123008400
11330033900
1143005700
1153006900
1163008700
11730011700
11830017700
11930035700
120300600
12130036300
12230018300
12330012300
1243009300
1253001500
1263006300
12730038100
1283009600
12930012900
1303003900
13130039300
1323003300
13330039900
13430020100

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 120 and 300? (The answer is: 600). Select the first number (e.g. '120') and the second number (e.g. '300'). 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

FAQ

What's the Least Common Multiple (LCM) of 120 and 300?

LCM of 120 and 300 is 600

How to find the LCM of 120 and 300 using prime factorization?

To find the LCM of 120 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

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 120 and 300: LCM = 600, GCF = 60.