LCM for 48 and 216

What's the Least Common Multiple (LCM) of 48 and 216?

Answer: LCM of 48 and 216 is 432

(Four hundred thirty-two)

Finding LCM for 48 and 216 using GCF's of these numbers

The first method to find LCM for numbers 48 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 216 is 24, so

LCM = (48 × 216) ÷ 24

LCM = 10368 ÷ 24

LCM = 432

Finding LCM for 48 and 216 by Listing Multiples

The second method to find LCM for numbers 48 and 216 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528

Multiples of 216: 216, 432, 648, 864

So the LCM for 48 and 216 is 432

Finding LCM for 48 and 216 by Prime Factorization

Another method to find LCM for numbers 48 and 216 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)

24 × 33 = 432

Related Calculations

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 48 and 216? (The answer is: 432). Select the first number (e.g. '48') 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

LCM Table

Number 1Number 2LCM
332162376
342163672
352167560
36216216
372167992
382164104
392162808
402161080
412168856
422161512
432169288
442162376
452161080
462164968
4721610152
48216
4921610584
502165400
512163672
522162808
5321611448
54216216
5521611880
562161512
572164104
582166264
5921612744
602161080
6121613176
622166696

FAQ

What's the Least Common Multiple (LCM) of 48 and 216?

LCM of 48 and 216 is 432