LCM for 168 and 216

What's the Least Common Multiple (LCM) of 168 and 216?

Answer: LCM of 168 and 216 is 1,512

(One thousand, five hundred twelve)

Finding LCM for 168 and 216 using GCF's of these numbers

The first method to find LCM for numbers 168 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 168 and 216 is 24, so

LCM = (168 × 216) ÷ 24

LCM = 36288 ÷ 24

LCM = 1512

Finding LCM for 168 and 216 by Listing Multiples

The second method to find LCM for numbers 168 and 216 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 168: 168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848

Multiples of 216: 216, 432, 648, 864, 1080, 1296, 1512, 1728, 1944

So the LCM for 168 and 216 is 1512

Finding LCM for 168 and 216 by Prime Factorization

Another method to find LCM for numbers 168 and 216 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 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)

23 × 33 × 71 = 1512

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
1532163672
15421616632
15521633480
1562162808
15721633912
15821617064
15921611448
1602164320
16121634776
162216648
16321635208
1642168856
16521611880
16621617928
16721636072
168216
16921636504
17021618360
1712164104
1722169288
17321637368
1742166264
17521637800
1762164752
17721612744
17821619224
17921638664
1802161080
18121639096
18221619656

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 216? (The answer is: 1512). Select the first number (e.g. '168') and the second number (e.g. '216'). 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

FAQ

What's the Least Common Multiple (LCM) of 168 and 216?

LCM of 168 and 216 is 1,512