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LCM for 120 and 150

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 150?

Answer

LCM of 120 and 150 is 600

(Six hundred)

Finding LCM for 120 and 150 using GCF of these numbers

The first method to find LCM for numbers 120 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 150 is 30, so

LCM = (120 × 150) ÷ 30

LCM = 18000 ÷ 30

LCM = 600

Finding LCM for 120 and 150 by Listing Multiples

The second method to find LCM for numbers 120 and 150 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 150: 150, 300, 450, 600, 750, 900

So the LCM for 120 and 150 is 600

Finding LCM for 120 and 150 by Prime Factorization

Another method to find LCM for numbers 120 and 150 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 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

23 × 31 × 52 = 600

Related Calculations

See Also

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What is the LCM of 120 and 150?. Find the LCM of 120 and 150 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1051501050
1061507950
10715016050
1081502700
10915016350
1101501650
1111505550
1121508400
11315016950
1141502850
1151503450
1161508700
1171505850
1181508850
11915017850
120150600
12115018150
1221509150
1231506150
1241509300
125150750
1261503150
12715019050
1281509600
1291506450
1301501950
13115019650
1321503300
13315019950
13415010050

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 150? (The answer is: 600). Select the first number (e.g. '120') and the second number (e.g. '150'). 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 150?

LCM of 120 and 150 is 600

How to find the LCM of 120 and 150 using prime factorization?

To find the LCM of 120 and 150, 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 150: LCM = 600, GCF = 30.

See Also