LCM for 48 and 126

What's the Least Common Multiple (LCM) of 48 and 126?

Answer: LCM of 48 and 126 is 1,008

(One thousand, eight)

Finding LCM for 48 and 126 using GCF's of these numbers

The first method to find LCM for numbers 48 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 126 is 6, so

LCM = (48 × 126) ÷ 6

LCM = 6048 ÷ 6

LCM = 1008

Finding LCM for 48 and 126 by Listing Multiples

The second method to find LCM for numbers 48 and 126 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, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104

Multiples of 126: 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260

So the LCM for 48 and 126 is 1008

Finding LCM for 48 and 126 by Prime Factorization

Another method to find LCM for numbers 48 and 126 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 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

24 × 32 × 71 = 1008

LCM Table

Number 1Number 2LCM
331261386
341262142
35126630
36126252
371264662
381262394
391261638
401262520
411265166
42126
431265418
441262772
45126630
461262898
471265922
481261008
49126882
501263150
511262142
521263276
531266678
54126
551266930
56126
571262394
581263654
591267434
601261260
611267686
621263906

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 126? (The answer is: 1008). Select the first number (e.g. '48') and the second number (e.g. '126'). 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 48 and 126?

LCM of 48 and 126 is 1,008