LCM for 120 and 160

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What's the Least Common Multiple (LCM) of 120 and 160?

Answer

LCM of 120 and 160 is
480

(Four hundred eighty)

Finding LCM for 120 and 160 using GCF of these numbers

The first method to find LCM for numbers 120 and 160 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 160 is 40, so

LCM = (120 × 160) ÷ 40

LCM = 19,200 ÷ 40

LCM = 480

Finding LCM for 120 and 160 by Listing Multiples

The second method to find LCM for numbers 120 and 160 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

Multiples of 160: 160, 320, 480, 640, 800

So the LCM for 120 and 160 is 480

Finding LCM for 120 and 160 by Prime Factorization

Another method to find LCM for numbers 120 and 160 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 160: 2, 2, 2, 2, 2, 5 (exponent form: 25, 51)

25 × 31 × 51 = 480

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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 120 and 160? (The answer is: 480). Select the first number (e.g. '120') and the second number (e.g. '160'). 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
1201453,480
1201468,760
1201475,880
1201484,440
12014917,880
120150600
12015118,120
1201522,280
1201536,120
1201549,240
1201553,720
1201561,560
12015718,840
1201589,480
1201596,360
120160480
12016119,320
1201623,240
12016319,560
1201644,920
1201651,320
1201669,960
12016720,040
120168840
12016920,280
1201702,040
1201716,840
1201725,160
12017320,760
1201743,480

FAQ

What's the Least Common Multiple (LCM) of 120 and 160?

LCM of 120 and 160 is 480

How to find the LCM of 120 and 160 using prime factorization?

To find the LCM of 120 and 160, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 480.

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 160: LCM = 480, GCF = 40.

See Also