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
1531893213
1541894158
15518929295
1561899828
15718929673
15818929862
15918910017
16018930240
1611894347
1621891134
16318930807
16418930996
16518910395
16618931374
16718931563
1681891512
16918931941
17018932130
1711893591
17218932508
17318932697
17418910962
1751894725
17618933264
17718911151
17818933642
17918933831
1801893780
18118934209
1821894914

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