LCM for 168 and 189

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 31752 ÷ 21

LCM = 1512

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, 1008, 1176, 1344, 1512, 1680, 1848

Multiples of 189: 189, 378, 567, 756, 945, 1134, 1323, 1512, 1701, 1890

So the LCM for 168 and 189 is 1512

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 = 1512

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: 1512). 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

and

LCM Table

Number 1Number 2LCM
1681744872
1681754200
1681763696
1681779912
16817814952
16817930072
1681802520
16818130408
1681822184
16818310248
1681843864
16818531080
1681865208
16818731416
1681887896
1681891512
16819015960
16819132088
1681921344
16819332424
16819416296
16819510920
1681961176
16819733096
1681985544
16819933432
1682004200
16820111256
16820216968
1682034872

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