LCM for 28 and 238

What's the Least Common Multiple (LCM) of 28 and 238?

Answer: LCM of 28 and 238 is 476

(Four hundred seventy-six)

Finding LCM for 28 and 238 using GCF's of these numbers

The first method to find LCM for numbers 28 and 238 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 238 is 14, so

LCM = (28 × 238) ÷ 14

LCM = 6664 ÷ 14

LCM = 476

Finding LCM for 28 and 238 by Listing Multiples

The second method to find LCM for numbers 28 and 238 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532

Multiples of 238: 238, 476, 714, 952

So the LCM for 28 and 238 is 476

Finding LCM for 28 and 238 by Prime Factorization

Another method to find LCM for numbers 28 and 238 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

All Prime Factors of 238: 2, 7, 17 (exponent form: 21, 71, 171)

22 × 71 × 171 = 476

Related Calculations

LCM Table

Number 1Number 2LCM
132383094
14238238
152383570
162381904
17238238
182382142
192384522
202382380
21238714
222382618
232385474
242382856
252385950
262383094
272386426
28238
292386902
302383570
312387378
322383808
332387854
34238238
352381190
362384284
372388806
382384522
392389282
402384760
412389758
42238714

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 28 and 238? (The answer is: 476). Select the first number (e.g. '28') and the second number (e.g. '238'). 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 28 and 238?

LCM of 28 and 238 is 476