LCM for 208 and 234

What's the Least Common Multiple (LCM) of 208 and 234?

Answer: LCM of 208 and 234 is 1,872

(One thousand, eight hundred seventy-two)

Finding LCM for 208 and 234 using GCF's of these numbers

The first method to find LCM for numbers 208 and 234 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 208 and 234 is 26, so

LCM = (208 × 234) ÷ 26

LCM = 48672 ÷ 26

LCM = 1872

Finding LCM for 208 and 234 by Listing Multiples

The second method to find LCM for numbers 208 and 234 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 208: 208, 416, 624, 832, 1040, 1248, 1456, 1664, 1872, 2080, 2288

Multiples of 234: 234, 468, 702, 936, 1170, 1404, 1638, 1872, 2106, 2340

So the LCM for 208 and 234 is 1872

Finding LCM for 208 and 234 by Prime Factorization

Another method to find LCM for numbers 208 and 234 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 208: 2, 2, 2, 2, 13 (exponent form: 24, 131)

All Prime Factors of 234: 2, 3, 3, 13 (exponent form: 21, 32, 131)

24 × 131 × 32 = 1872

Related Calculations

LCM Table

Number 1Number 2LCM
19323445162
19423422698
1952341170
19623422932
19723446098
1982342574
19923446566
20023423400
20123415678
20223423634
20323447502
2042347956
20523447970
20623424102
2072345382
208234
20923448906
2102348190
21123449374
21223424804
21323416614
21423425038
21523450310
2162342808
21723450778
21823425506
21923417082
22023425740
2212343978
2222348658

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 208 and 234? (The answer is: 1872). Select the first number (e.g. '208') and the second number (e.g. '234'). 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 208 and 234?

LCM of 208 and 234 is 1,872