LCM for 144 and 160

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What's the Least Common Multiple (LCM) of 144 and 160?

Answer

LCM of 144 and 160 is
1,440

(One thousand four hundred forty)

Finding LCM for 144 and 160 using GCF of these numbers

The first method to find LCM for numbers 144 and 160 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 144 and 160 is 16, so

LCM = (144 × 160) ÷ 16

LCM = 23,040 ÷ 16

LCM = 1,440

Finding LCM for 144 and 160 by Listing Multiples

The second method to find LCM for numbers 144 and 160 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008, 1,152, 1,296, 1,440, 1,584, 1,728

Multiples of 160: 160, 320, 480, 640, 800, 960, 1,120, 1,280, 1,440, 1,600, 1,760

So the LCM for 144 and 160 is 1,440

Finding LCM for 144 and 160 by Prime Factorization

Another method to find LCM for numbers 144 and 160 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

All Prime Factors of 160: 2, 2, 2, 2, 2, 5 (exponent form: 25, 51)

25 × 32 × 51 = 1,440

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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 144 and 160? (The answer is: 1,440). Select the first number (e.g. '144') 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
14414520,880
14414610,512
1441477,056
1441485,328
14414921,456
1441503,600
14415121,744
1441522,736
1441532,448
14415411,088
14415522,320
1441561,872
14415722,608
14415811,376
1441597,632
1441601,440
14416123,184
1441621,296
14416323,472
1441645,904
1441657,920
14416611,952
14416724,048
1441681,008
14416924,336
14417012,240
1441712,736
1441726,192
14417324,912
1441744,176

FAQ

What's the Least Common Multiple (LCM) of 144 and 160?

LCM of 144 and 160 is 1,440

How to find the LCM of 144 and 160 using prime factorization?

To find the LCM of 144 and 160, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,440.

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 144 and 160: LCM = 1,440, GCF = 16.

See Also