LCM for 120 and 168

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What's the Least Common Multiple (LCM) of 120 and 168?

Answer

LCM of 120 and 168 is
840

(Eight hundred forty)

Finding LCM for 120 and 168 using GCF of these numbers

The first method to find LCM for numbers 120 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 168 is 24, so

LCM = (120 × 168) ÷ 24

LCM = 20,160 ÷ 24

LCM = 840

Finding LCM for 120 and 168 by Listing Multiples

The second method to find LCM for numbers 120 and 168 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, 960, 1,080

Multiples of 168: 168, 336, 504, 672, 840, 1,008, 1,176

So the LCM for 120 and 168 is 840

Finding LCM for 120 and 168 by Prime Factorization

Another method to find LCM for numbers 120 and 168 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 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

23 × 31 × 51 × 71 = 840

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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 168? (The answer is: 840). Select the first number (e.g. '120') and the second number (e.g. '168'). 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
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
1201754,200
1201762,640
1201777,080
12017810,680
12017921,480
120180360
12018121,720
12018210,920

FAQ

What's the Least Common Multiple (LCM) of 120 and 168?

LCM of 120 and 168 is 840

How to find the LCM of 120 and 168 using prime factorization?

To find the LCM of 120 and 168, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 168: LCM = 840, GCF = 24.

See Also