LCM for 168 and 189

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What's the Least Common Multiple (LCM) of 168 and 189?

Answer

LCM of 168 and 189 is
1,512

(One thousand five hundred twelve)

Finding LCM for 168 and 189 using GCF of these numbers

The first method to find LCM for numbers 168 and 189 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 168 and 189 is 21, so

LCM = (168 × 189) ÷ 21

LCM = 31,752 ÷ 21

LCM = 1,512

Finding LCM for 168 and 189 by Listing Multiples

The second method to find LCM for numbers 168 and 189 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 168: 168, 336, 504, 672, 840, 1,008, 1,176, 1,344, 1,512, 1,680, 1,848

Multiples of 189: 189, 378, 567, 756, 945, 1,134, 1,323, 1,512, 1,701, 1,890

So the LCM for 168 and 189 is 1,512

Finding LCM for 168 and 189 by Prime Factorization

Another method to find LCM for numbers 168 and 189 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

All Prime Factors of 189: 3, 3, 3, 7 (exponent form: 33, 71)

23 × 33 × 71 = 1,512

See Also

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 168 and 189? (The answer is: 1,512). Select the first number (e.g. '168') and the second number (e.g. '189'). 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
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LCM Table

Number 1Number 2LCM
1681744,872
1681754,200
1681763,696
1681779,912
16817814,952
16817930,072
1681802,520
16818130,408
1681822,184
16818310,248
1681843,864
16818531,080
1681865,208
16818731,416
1681887,896
1681891,512
16819015,960
16819132,088
1681921,344
16819332,424
16819416,296
16819510,920
1681961,176
16819733,096
1681985,544
16819933,432
1682004,200
16820111,256
16820216,968
1682034,872

FAQ

What's the Least Common Multiple (LCM) of 168 and 189?

LCM of 168 and 189 is 1,512

How to find the LCM of 168 and 189 using prime factorization?

To find the LCM of 168 and 189, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,512.

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 168 and 189: LCM = 1,512, GCF = 21.

See Also